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Probability

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4.5 GB

Total Files

752

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144F71A465683483C10D7674A5CCFD20A10CC84B

/Week 0/

1 - 16 - Tableau 2.1- f. Summary of Tableau 2, Part 1 [01-06].srt

1.2 KB

1 - 10 - Tableau 1.2- d. Summary of Tableau 1, Part 2 [02-12].srt

2.1 KB

1 - 22 - Tableau 2.2- f. Summary of Tableau 2, Part 2 [02-27].srt

3.1 KB

1 - 21 - Tableau 2.2- e. Test your understanding, binomial identities [02-38].srt

3.1 KB

1 - 4 - Preamble- c. Table d%5C'hôte- the topics of the course [03-26].srt

3.9 KB

1 - 5 - Preamble- d. On how to study mathematics [03-48].srt

4.1 KB

1 - 20 - Tableau 2.2- d. The binomial theorem [03-55].srt

5.2 KB

1 - 18 - Tableau 2.2- b. Equivalent expressions for binomial coefficients, algebraic and combinatorial arguments [04-11].srt

5.3 KB

1 - 6 - Tableau 1.1. Chance around us [04-37].srt

5.5 KB

1 - 17 - Tableau 2.2- a. Alternative forms for the falling factorial [04-19].srt

5.5 KB

1 - 3 - Preamble- b. The requisite background [04-48].srt

5.8 KB

1 - 2 - Preamble- a. The flowering of a mathematical science [07-21].srt

8.2 KB

1 - 9 - Tableau 1.2- c. The hot hand phenomenon [08-22].srt

9.3 KB

1 - 14 - Tableau 2.1- d. Subpopulations, binomial coefficients [07-25].srt

10.0 KB

1 - 7 - Tableau 1.2- a. The tosses of a coin [09-31].srt

10.4 KB

1 - 8 - Tableau 1.2- b. Success runs [09-25].srt

10.5 KB

1 - 12 - Tableau 2.1- b. Sampling with replacement, powers [08-36].srt

11.3 KB

1 - 19 - Tableau 2.2- c. Pascal’s triangle [10-07].srt

13.2 KB

1 - 15 - Tableau 2.1- e. Test your understanding, card problems [10-37].srt

14.4 KB

1 - 11 - Tableau 2.1- a. Finite sets, ordered samples, subpopulations [11-56].srt

15.2 KB

1 - 13 - Tableau 2.1- c. Sampling without replacement, falling factorials [12-15].srt

16.4 KB

1. Prelude to a Theory of Chance.pdf

283.0 KB

2. Combinatorial Elements.pdf

327.0 KB

Introduction and background Review.pdf

359.8 KB

1 - 16 - Tableau 2.1- f. Summary of Tableau 2, Part 1 [01-06].mp4

2.0 MB

1 - 1 - Probability Theme Song.mp4

3.9 MB

1 - 21 - Tableau 2.2- e. Test your understanding, binomial identities [02-38].mp4

4.5 MB

1 - 10 - Tableau 1.2- d. Summary of Tableau 1, Part 2 [02-12].mp4

5.4 MB

1 - 22 - Tableau 2.2- f. Summary of Tableau 2, Part 2 [02-27].mp4

5.5 MB

1 - 20 - Tableau 2.2- d. The binomial theorem [03-55].mp4

6.9 MB

1 - 4 - Preamble- c. Table d%5C'hôte- the topics of the course [03-26].mp4

7.0 MB

1 - 18 - Tableau 2.2- b. Equivalent expressions for binomial coefficients, algebraic and combinatorial arguments [04-11].mp4

8.4 MB

1 - 5 - Preamble- d. On how to study mathematics [03-48].mp4

8.5 MB

1 - 17 - Tableau 2.2- a. Alternative forms for the falling factorial [04-19].mp4

9.6 MB

1 - 3 - Preamble- b. The requisite background [04-48].mp4

9.9 MB

1 - 14 - Tableau 2.1- d. Subpopulations, binomial coefficients [07-25].mp4

15.4 MB

1 - 6 - Tableau 1.1. Chance around us [04-37].mp4

15.7 MB

1 - 2 - Preamble- a. The flowering of a mathematical science [07-21].mp4

16.1 MB

1 - 8 - Tableau 1.2- b. Success runs [09-25].mp4

16.8 MB

1 - 9 - Tableau 1.2- c. The hot hand phenomenon [08-22].mp4

17.4 MB

1 - 19 - Tableau 2.2- c. Pascal’s triangle [10-07].mp4

19.3 MB

1 - 12 - Tableau 2.1- b. Sampling with replacement, powers [08-36].mp4

19.7 MB

1 - 7 - Tableau 1.2- a. The tosses of a coin [09-31].mp4

20.5 MB

1 - 13 - Tableau 2.1- c. Sampling without replacement, falling factorials [12-15].mp4

22.9 MB

1 - 15 - Tableau 2.1- e. Test your understanding, card problems [10-37].mp4

24.9 MB

1 - 11 - Tableau 2.1- a. Finite sets, ordered samples, subpopulations [11-56].mp4

30.5 MB

/Week 1/

2 - 19 - Tableau 4- e. Cementing your understanding [01-13].srt

1.9 KB

2 - 1 - Tableau 3.1- a. Random sampling from finite sets, balls, and urns [02-11].srt

2.5 KB

2 - 11 - Tableau 3.2- e. Summary of Tableau 3, Part 2 [02-52] (1).srt

3.3 KB

2 - 3 - Tableau 3.1- c. Commentary on de Méré’s paradox and the lessons learnt [03-44].srt

4.6 KB

2 - 17 - Tableau 4- c. Relations between sets- set inclusions, disjoint sets [04-26].srt

5.4 KB

2 - 14 - Tableau 3.3- c. Summary of Tableau 3, Part 3 [05-01].srt

6.1 KB

2 - 5 - Tableau 3.1- e. A generic ball and urn problem [05-28].srt

7.6 KB

2 - 22 - Tableau 4- h. Summary of Tableau 4 [07-18].srt

9.1 KB

2 - 6 - Tableau 3.1- f. Summary of Tableau 3, Part 1 [07-43].srt

9.1 KB

2 - 4 - Tableau 3.1- d. The birthday paradox [08-42].srt

10.4 KB

2 - 7 - Tableau 3.2- a. Urn models in statistical physics [09-11].srt

10.9 KB

2 - 16 - Tableau 4- b. Sets and subsets in abstract, notation, Venn diagrams [10-15].srt

12.7 KB

2 - 10 - Tableau 3.2- d. Fermi–Dirac statistics, Fermions [11-04].srt

13.0 KB

2 - 21 - Tableau 4- g. Set equality; a test case, verifying the distributive property [09-35].srt

13.2 KB

2 - 18 - Tableau 4- d. Basic manoeuvres with sets- unions, intersections, complements, and set differences [12-55].srt

15.3 KB

2 - 8 - Tableau 3.2- b. Maxwell–Boltzmann statistics, distinguishable particles [15-05].srt

17.5 KB

2 - 13 - Tableau 3.3- b. Repeated tosses of a coin [14-19].srt

17.6 KB

2 - 12 - Tableau 3.3- a. The first throw in the game of craps [17-24].srt

20.6 KB

2 - 20 - Tableau 4- f. An algebra of sets- commutative, associative, and distributive properties, de Morgan’s laws [17-40].srt

21.6 KB

2 - 15 - Tableau 4- a. Sets, number systems [17-46].srt

23.0 KB

2 - 9 - Tableau 3.2- c. Bose–Einstein statistics, indistinguishable particles, Bosons [21-11].srt

24.6 KB

2 - 2 - Tableau 3.1- b. Chevalier de Mere%5C's paradox [22-16].srt

26.7 KB

4. A Little Set Theory.pdf

217.5 KB

3. Chance in commonplace settings.pdf

367.5 KB

The Main Course.pdf

392.6 KB

2 - 19 - Tableau 4- e. Cementing your understanding [01-13].mp4

2.4 MB

2 - 11 - Tableau 3.2- e. Summary of Tableau 3, Part 2 [02-52].mp4

5.7 MB

2 - 1 - Tableau 3.1- a. Random sampling from finite sets, balls, and urns [02-11].mp4

6.8 MB

2 - 17 - Tableau 4- c. Relations between sets- set inclusions, disjoint sets [04-26].mp4

8.5 MB

2 - 3 - Tableau 3.1- c. Commentary on de Méré’s paradox and the lessons learnt [03-44].mp4

10.3 MB

2 - 22 - Tableau 4- h. Summary of Tableau 4 [07-18].mp4

12.1 MB

2 - 5 - Tableau 3.1- e. A generic ball and urn problem [05-28].mp4

12.3 MB

2 - 14 - Tableau 3.3- c. Summary of Tableau 3, Part 3 [05-01].mp4

12.8 MB

2 - 6 - Tableau 3.1- f. Summary of Tableau 3, Part 1 [07-43].mp4

18.6 MB

2 - 4 - Tableau 3.1- d. The birthday paradox [08-42].mp4

19.3 MB

2 - 21 - Tableau 4- g. Set equality; a test case, verifying the distributive property [09-35].mp4

20.4 MB

2 - 16 - Tableau 4- b. Sets and subsets in abstract, notation, Venn diagrams [10-15].mp4

21.1 MB

2 - 7 - Tableau 3.2- a. Urn models in statistical physics [09-11].mp4

23.5 MB

2 - 10 - Tableau 3.2- d. Fermi–Dirac statistics, Fermions [11-04].mp4

23.8 MB

2 - 18 - Tableau 4- d. Basic manoeuvres with sets- unions, intersections, complements, and set differences [12-55].mp4

24.4 MB

2 - 8 - Tableau 3.2- b. Maxwell–Boltzmann statistics, distinguishable particles [15-05].mp4

27.6 MB

2 - 13 - Tableau 3.3- b. Repeated tosses of a coin [14-19].mp4

28.6 MB

2 - 12 - Tableau 3.3- a. The first throw in the game of craps [17-24].mp4

35.9 MB

2 - 20 - Tableau 4- f. An algebra of sets- commutative, associative, and distributive properties, de Morgan’s laws [17-40].mp4

37.4 MB

2 - 15 - Tableau 4- a. Sets, number systems [17-46].mp4

37.9 MB

2 - 9 - Tableau 3.2- c. Bose–Einstein statistics, indistinguishable particles, Bosons [21-11].mp4

41.2 MB

2 - 2 - Tableau 3.1- b. Chevalier de Mere%5C's paradox [22-16].mp4

41.6 MB

/Week 8/

9 - 16 - Tableau 12.2- a. Setting the stage for the Poisson paradigm [02-12].srt

2.0 KB

9 - 2 - Tableau 12.1- b. Typical events- visions of centrality [03-45].srt

4.1 KB

9 - 1 - Tableau 12.1- a. The scope of the basic limit laws- typical and rare events [03-56].srt

4.2 KB

9 - 12 - Tableau 12.1- l. A chi-squared test- (1) Two maxims of T. W. Körner [05-17].srt

6.2 KB

9 - 15 - Tableau 12.1- o. Summary of Tableau 12, Part 1 [07-36].srt

8.3 KB

9 - 28 - Tableau 12.3. An ode to joy in discovery, a word from James Clerk Maxwell; the chefs bid adieu [06-49].srt

8.3 KB

9 - 10 - Tableau 12.1- j. Commentary on Burt’s figures- (2) Violations of rules of engagement, a golden rule of Darwin [07-38].srt

9.0 KB

9 - 14 - Tableau 12.1- n. A chi-squared test- (3) The denouement, the limitations of analysis [07-49].srt

9.4 KB

9 - 4 - Tableau 12.1- d. A constantly rebalanced portfolio [08-30].srt

9.8 KB

9 - 5 - Tableau 12.1- e. The growth of wealth [08-53].srt

10.3 KB

9 - 19 - Tableau 12.2- d. The theorem of inclusion and exclusion- (1) The baby version [08-25].srt

10.6 KB

9 - 17 - Tableau 12.2- b. The probabilistic sieve of Boole, pondering existence [10-22].srt

11.4 KB

9 - 24 - Tableau 12.2- i. A Poisson sieve, one more slogan [09-41].srt

12.0 KB

9 - 21 - Tableau 12.2- f. The view from a sample point- (1) Counting membership [10-13].srt

12.1 KB

9 - 7 - Tableau 12.1- g. Disclaimers and a slogan [09-42].srt

12.2 KB

9 - 20 - Tableau 12.2- e. The theorem of inclusion and exclusion- (2) The industrial strength version [10-19].srt

12.5 KB

9 - 8 - Tableau 12.1- h. Fraud, statistics, and the central limit theorem- the curious case of Sir Cyril Burt, psychologist [12-27].srt

13.5 KB

9 - 9 - Tableau 12.1- i. Commentary on Burt’s figures- (1) What the paper says (and what it doesn’t) [12-35].srt

14.2 KB

9 - 6 - Tableau 12.1- f. What the law of large numbers has to say, optimal portfolio selection [13-20].srt

15.9 KB

9 - 23 - Tableau 12.2- h. Return to independence, an old friend resurfaces [12-35].srt

15.9 KB

9 - 3 - Tableau 12.1- c. The art of making money- portfolios and the stock market [14-33].srt

17.1 KB

9 - 22 - Tableau 12.2- g. The view from a sample point- (2) What the binomial theorem has to say [14-54].srt

18.4 KB

9 - 11 - Tableau 12.1- k. The distribution of IQ, a bell curve emerges [15-11].srt

19.0 KB

9 - 27 - Tableau 12.2- l. Summary of Tableau 12, Part 2 [13-59].srt

19.0 KB

9 - 13 - Tableau 12.1- m. A chi-squared test- (2) Karl Pearson weighs in [15-24].srt

19.5 KB

9 - 18 - Tableau 12.2- c. A question of existence, embedding a cube in a two-colored sphere [16-54].srt

20.9 KB

9 - 25 - Tableau 12.2- j. Le problème des rencontres- a clutch of hats [23-56].srt

31.2 KB

9 - 26 - Tableau 12.2- k. The coupon collector’s problem- a clutch of playbills; or, shop till you drop [24-39].srt

32.2 KB

The Dessert Menu.pdf

209.1 KB

12. A potpourri of titillating applications.pdf

560.9 KB

9 - 16 - Tableau 12.2- a. Setting the stage for the Poisson paradigm [02-12].mp4

4.3 MB

9 - 2 - Tableau 12.1- b. Typical events- visions of centrality [03-45].mp4

6.8 MB

9 - 1 - Tableau 12.1- a. The scope of the basic limit laws- typical and rare events [03-56].mp4

9.2 MB

9 - 12 - Tableau 12.1- l. A chi-squared test- (1) Two maxims of T. W. Körner [05-17].mp4

10.1 MB

9 - 14 - Tableau 12.1- n. A chi-squared test- (3) The denouement, the limitations of analysis [07-49].mp4

13.9 MB

9 - 15 - Tableau 12.1- o. Summary of Tableau 12, Part 1 [07-36].mp4

14.9 MB

9 - 19 - Tableau 12.2- d. The theorem of inclusion and exclusion- (1) The baby version [08-25].mp4

15.3 MB

9 - 4 - Tableau 12.1- d. A constantly rebalanced portfolio [08-30].mp4

15.3 MB

9 - 10 - Tableau 12.1- j. Commentary on Burt’s figures- (2) Violations of rules of engagement, a golden rule of Darwin [07-38].mp4

15.3 MB

9 - 28 - Tableau 12.3. An ode to joy in discovery, a word from James Clerk Maxwell; the chefs bid adieu [06-49].mp4

15.9 MB

9 - 20 - Tableau 12.2- e. The theorem of inclusion and exclusion- (2) The industrial strength version [10-19].mp4

16.9 MB

9 - 5 - Tableau 12.1- e. The growth of wealth [08-53].mp4

18.2 MB

9 - 24 - Tableau 12.2- i. A Poisson sieve, one more slogan [09-41].mp4

18.5 MB

9 - 21 - Tableau 12.2- f. The view from a sample point- (1) Counting membership [10-13].mp4

19.1 MB

9 - 17 - Tableau 12.2- b. The probabilistic sieve of Boole, pondering existence [10-22].mp4

20.5 MB

9 - 7 - Tableau 12.1- g. Disclaimers and a slogan [09-42].mp4

21.7 MB

9 - 8 - Tableau 12.1- h. Fraud, statistics, and the central limit theorem- the curious case of Sir Cyril Burt, psychologist [12-27].mp4

22.8 MB

9 - 23 - Tableau 12.2- h. Return to independence, an old friend resurfaces [12-35].mp4

23.0 MB

9 - 13 - Tableau 12.1- m. A chi-squared test- (2) Karl Pearson weighs in [15-24].mp4

24.0 MB

9 - 6 - Tableau 12.1- f. What the law of large numbers has to say, optimal portfolio selection [13-20].mp4

24.7 MB

9 - 11 - Tableau 12.1- k. The distribution of IQ, a bell curve emerges [15-11].mp4

26.0 MB

9 - 9 - Tableau 12.1- i. Commentary on Burt’s figures- (1) What the paper says (and what it doesn’t) [12-35].mp4

27.3 MB

9 - 3 - Tableau 12.1- c. The art of making money- portfolios and the stock market [14-33].mp4

28.2 MB

9 - 22 - Tableau 12.2- g. The view from a sample point- (2) What the binomial theorem has to say [14-54].mp4

28.3 MB

9 - 27 - Tableau 12.2- l. Summary of Tableau 12, Part 2 [13-59].mp4

29.6 MB

9 - 18 - Tableau 12.2- c. A question of existence, embedding a cube in a two-colored sphere [16-54].mp4

31.3 MB

9 - 25 - Tableau 12.2- j. Le problème des rencontres- a clutch of hats [23-56].mp4

40.1 MB

9 - 26 - Tableau 12.2- k. The coupon collector’s problem- a clutch of playbills; or, shop till you drop [24-39].mp4

41.9 MB

/Week 2/

3 - 12 - Tableau 6.1- a. Review- the abstract probability space [2-26].srt

2.7 KB

3 - 17 - Tableau 6.1- f. Summary of Tableau 6, Part 1 [02-54].srt

3.4 KB

3 - 1 - Tableau 5- a. Towards an axiomatic theory of probability [3-25].srt

3.4 KB

3 - 10 - Tableau 5- j. Additivity once more, partitions [3-19].srt

4.2 KB

3 - 6 - Tableau 5- f. Basic properties- the impossible event [4-24].srt

5.3 KB

3 - 30 - Tableau 7- b. What Newton’s laws of motion have to say [04-48].srt

5.6 KB

3 - 2 - Tableau 5- b. The abstract sample space [5-38].srt

6.3 KB

3 - 14 - Tableau 6.1- c. Characterising chance in discrete spaces, atoms, mass functions, distributions [05-47].srt

6.8 KB

3 - 9 - Tableau 5- i. Something to ruminate on [4-49].srt

6.9 KB

3 - 8 - Tableau 5- h. Additivity- inclusion and exclusion [5-21].srt

7.2 KB

3 - 16 - Tableau 6.1- e. Test your understanding [06-35].srt

7.7 KB

3 - 31 - Tableau 7- c. The angle of the coin when caught [07-02].srt

7.8 KB

3 - 4 - Tableau 5- d. Lessons from a frequentist’s view of chance [7-24].srt

8.2 KB

3 - 18 - Tableau 6.2- a. An infinite string of coin tosses [07-27].srt

8.7 KB

3 - 24 - Tableau 6.2- g. Is the normal density properly normalised- [06-15].srt

8.8 KB

3 - 28 - Tableau 6.2- k. Summary of Tableau 6, Part 2 [06-43].srt

9.0 KB

3 - 19 - Tableau 6.2- b. A non sequitur- dyadic expansions of a real number [08-59].srt

10.2 KB

3 - 27 - Tableau 6.2- j. A test of the concepts, a two-dimensional normal density, and a slogan [07-44].srt

10.2 KB

3 - 21 - Tableau 6.2- d. The uniform density, sums segue into integrals [08-46].srt

10.2 KB

3 - 5 - Tableau 5- e. The probability measure [9-06].srt

10.4 KB

3 - 11 - Tableau 5- k. Summary of Tableau 5, the probabilist’s trinity [8-11].srt

10.5 KB

3 - 32 - Tableau 7- d. The effect of uncertainty in initial conditions [08-44].srt

10.8 KB

3 - 22 - Tableau 6.2- e. Probability densities in a continuum sample space, probabilities as areas under a density curve [08-56].srt

10.8 KB

3 - 23 - Tableau 6.2- f. The basic densities- the uniform, exponential, and normal densities [09-43].srt

12.2 KB

3 - 29 - Tableau 7- a. A coin toss as a deterministic physical system- whence randomness- [10-52].srt

12.6 KB

3 - 7 - Tableau 5- g. Monotonicity, Boole’s inequality [9-46].srt

12.7 KB

3 - 3 - Tableau 5- c. The algebra of events [11-40].srt

13.4 KB

3 - 25 - Tableau 6.2- h. Test your understanding; a word from Leibniz [11-00].srt

13.8 KB

3 - 26 - Tableau 6.2- i. Densities in two and more dimensions [11-05].srt

14.3 KB

3 - 33 - Tableau 7- e. Chance in physical systems, Poincaré’s principle of arbitrary functions [12-05].srt

14.4 KB

3 - 20 - Tableau 6.2- c. Coin tosses redux- the continuum emerges, intervals as the carriers of mass [12-21].srt

15.6 KB

3 - 13 - Tableau 6.1- b. Lessons from simple chance settings- de Méré redux, craps, coins [14-52].srt

17.6 KB

3 - 15 - Tableau 6.1- d. The usual culprits- the combinatorial, binomial, Poisson, and geometric distributions [16-10].srt

20.1 KB

7. Is the outcome of a coin toss really random.pdf

284.7 KB

5. The abstract probability space.pdf

307.9 KB

The Main Course.pdf

395.0 KB

6. Probabilities in simple settings.pdf

465.6 KB

3 - 12 - Tableau 6.1- a. Review- the abstract probability space [2-26].mp4

5.5 MB

3 - 10 - Tableau 5- j. Additivity once more, partitions [3-19].mp4

6.0 MB

3 - 17 - Tableau 6.1- f. Summary of Tableau 6, Part 1 [02-54].mp4

6.3 MB

3 - 6 - Tableau 5- f. Basic properties- the impossible event [4-24].mp4

7.5 MB

3 - 1 - Tableau 5- a. Towards an axiomatic theory of probability [3-25].mp4

7.7 MB

3 - 9 - Tableau 5- i. Something to ruminate on [4-49].mp4

8.4 MB

3 - 8 - Tableau 5- h. Additivity- inclusion and exclusion [5-21].mp4

9.8 MB

3 - 30 - Tableau 7- b. What Newton’s laws of motion have to say [04-48].mp4

10.0 MB

3 - 14 - Tableau 6.1- c. Characterising chance in discrete spaces, atoms, mass functions, distributions [05-47].mp4

10.5 MB

3 - 2 - Tableau 5- b. The abstract sample space [5-38].mp4

11.6 MB

3 - 4 - Tableau 5- d. Lessons from a frequentist’s view of chance [7-24].mp4

11.7 MB

3 - 16 - Tableau 6.1- e. Test your understanding [06-35].mp4

12.7 MB

3 - 24 - Tableau 6.2- g. Is the normal density properly normalised- [06-15].mp4

12.9 MB

3 - 31 - Tableau 7- c. The angle of the coin when caught [07-02].mp4

12.9 MB

3 - 11 - Tableau 5- k. Summary of Tableau 5, the probabilist’s trinity [8-11].mp4

14.7 MB

3 - 19 - Tableau 6.2- b. A non sequitur- dyadic expansions of a real number [08-59].mp4

15.1 MB

3 - 18 - Tableau 6.2- a. An infinite string of coin tosses [07-27].mp4

15.3 MB

3 - 28 - Tableau 6.2- k. Summary of Tableau 6, Part 2 [06-43].mp4

15.4 MB

3 - 27 - Tableau 6.2- j. A test of the concepts, a two-dimensional normal density, and a slogan [07-44].mp4

15.6 MB

3 - 7 - Tableau 5- g. Monotonicity, Boole’s inequality [9-46].mp4

16.4 MB

3 - 21 - Tableau 6.2- d. The uniform density, sums segue into integrals [08-46].mp4

16.8 MB

3 - 22 - Tableau 6.2- e. Probability densities in a continuum sample space, probabilities as areas under a density curve [08-56].mp4

17.3 MB

3 - 23 - Tableau 6.2- f. The basic densities- the uniform, exponential, and normal densities [09-43].mp4

18.1 MB

3 - 32 - Tableau 7- d. The effect of uncertainty in initial conditions [08-44].mp4

18.3 MB

3 - 25 - Tableau 6.2- h. Test your understanding; a word from Leibniz [11-00].mp4

18.3 MB

3 - 5 - Tableau 5- e. The probability measure [9-06].mp4

19.7 MB

3 - 26 - Tableau 6.2- i. Densities in two and more dimensions [11-05].mp4

19.8 MB

3 - 20 - Tableau 6.2- c. Coin tosses redux- the continuum emerges, intervals as the carriers of mass [12-21].mp4

21.7 MB

3 - 29 - Tableau 7- a. A coin toss as a deterministic physical system- whence randomness- [10-52].mp4

22.4 MB

3 - 3 - Tableau 5- c. The algebra of events [11-40].mp4

23.3 MB

3 - 13 - Tableau 6.1- b. Lessons from simple chance settings- de Méré redux, craps, coins [14-52].mp4

26.8 MB

3 - 15 - Tableau 6.1- d. The usual culprits- the combinatorial, binomial, Poisson, and geometric distributions [16-10].mp4

28.7 MB

3 - 33 - Tableau 7- e. Chance in physical systems, Poincaré’s principle of arbitrary functions [12-05] .mp4

31.1 MB

/Week 7/

8 - 30 - Tableau 11.3- a. Preparing the ground- from Chebyshev, whither- [02-32].srt

2.7 KB

8 - 15 - Tableau 11.2- a. Glissading into the continuum [03-33].srt

4.2 KB

8 - 22 - Tableau 11.2- h. Test your understanding, back to arithmetic variables [03-27].srt

4.5 KB

8 - 34 - Tableau 11.3- e. Why polls really work- (1) Background review [04-20].srt

4.9 KB

8 - 7 - Tableau 11.1- g. The subtle inequality of Pafnuty Chebyshev- (3) The law of large numbers [05-01].srt

6.0 KB

8 - 5 - Tableau 11.1- e. The subtle inequality of Pafnuty Chebyshev- (1) Setting the stage [05-32].srt

6.8 KB

8 - 37 - Tableau 11.3- h. Summary of Tableau 11, Part 3, closing comments [07-56].srt

8.2 KB

8 - 31 - Tableau 11.3- b. Revisiting the binomial distribution, a view from the proper centre and scale [07-51].srt

9.3 KB

8 - 8 - Tableau 11.1- h. Why polls work, sample sizes and a slogan [08-25].srt

9.6 KB

8 - 21 - Tableau 11.2- g. The law of large numbers [08-19].srt

9.6 KB

8 - 36 - Tableau 11.3- g. One curve to rule them all, the central limit theorem [09-09].srt

10.3 KB

8 - 18 - Tableau 11.2- d. Independent trials in the continuum [08-51].srt

10.7 KB

8 - 1 - Tableau 11.1- a. A model for a poll, reasons for optimism [02-32].srt

10.8 KB

8 - 33 - Tableau 11.3- d. A theorem of de Moivre and Laplace [09-29].srt

11.0 KB

8 - 10 - Tableau 11.1- j. How drug testing works- (1) The remit of the FDA [10-14].srt

11.4 KB

8 - 27 - Tableau 11.2- m. Probabilistic computation- pros and cons, a slogan [09-21].srt

11.4 KB

8 - 4 - Tableau 11.1- d. The dance of error, confidence, and sample size- (2) The mathematical desideratum [10-06].srt

11.5 KB

8 - 32 - Tableau 11.3- c. Enter the bell curve- the normal density and distribution function [09-48].srt

11.9 KB

8 - 14 - Tableau 11.1- n. Summary of Tableau 11, Part 1 [10-26].srt

12.1 KB

8 - 23 - Tableau 11.2- i. The statistical estimation of a mean, the theory of fair games [10-13].srt

12.6 KB

8 - 11 - Tableau 11.1- k. How drug testing works- (2) A principled statistical test [10-14].srt

12.8 KB

8 - 20 - Tableau 11.2- f. Sums of independent variables [10-44].srt

13.0 KB

8 - 12 - Tableau 11.1- l. Why drug testing works- (1) Understanding the probability space [11-03].srt

14.5 KB

8 - 9 - Tableau 11.1- i. And so, what happened in the US Presidential election of 2000- [12-22].srt

14.8 KB

8 - 6 - Tableau 11.1- f. The subtle inequality of Pafnuty Chebyshev- (2) The importance of a square [12-52].srt

16.3 KB

8 - 26 - Tableau 11.2- l. Physics takes a gamble! Computation à la Monte Carlo [13-20].srt

16.8 KB

8 - 17 - Tableau 11.2- c. Chebyshev, reprised [14-06].srt

16.9 KB

8 - 28 - Tableau 11.2- n. Quo vadis- The weak and strong law of large numbers [14-18].srt

17.7 KB

8 - 13 - Tableau 11.1- m. Why drug testing works- (2) What Chebyshev’s inequality has to say [14-37].srt

18.9 KB

8 - 29 - Tableau 11.2- o. Summary of Tableau 11, Part 2 [16-16].srt

19.1 KB

8 - 3 - Tableau 11.1- c. The dance of error, confidence, and sample size- (1) Numerical examples [15-45].srt

19.3 KB

8 - 16 - Tableau 11.2- b. Expectation and variance in continuous settings, coordinate transformations [15-58].srt

20.0 KB

8 - 19 - Tableau 11.2- e. The dance of additivity, two slogans [15-39].srt

20.0 KB

8 - 25 - Tableau 11.2- k. The value of sampling a function at a random point [15-50].srt

20.8 KB

8 - 2 - Tableau 11.1- b. The art of the random sample, independence and the subtlety of bias [17-58].srt

21.2 KB

8 - 24 - Tableau 11.2- j. A simple computation — and a dimensional tweak to the tale from physics [15-32].srt

21.3 KB

8 - 35 - Tableau 11.3- f. Why polls really work- (2) From quantiles to sample size [18-33].srt

22.6 KB

The Main Course.pdf

213.2 KB

11. The fabulous limit laws.pdf

651.7 KB

8 - 30 - Tableau 11.3- a. Preparing the ground- from Chebyshev, whither- [02-32].mp4

5.8 MB

8 - 22 - Tableau 11.2- h. Test your understanding, back to arithmetic variables [03-27].mp4

6.6 MB

8 - 34 - Tableau 11.3- e. Why polls really work- (1) Background review [04-20].mp4

7.0 MB

8 - 15 - Tableau 11.2- a. Glissading into the continuum [03-33].mp4

9.0 MB

8 - 7 - Tableau 11.1- g. The subtle inequality of Pafnuty Chebyshev- (3) The law of large numbers [05-01].mp4

10.4 MB

8 - 5 - Tableau 11.1- e. The subtle inequality of Pafnuty Chebyshev- (1) Setting the stage [05-32].mp4

11.5 MB

8 - 31 - Tableau 11.3- b. Revisiting the binomial distribution, a view from the proper centre and scale [07-51].mp4

13.9 MB

8 - 21 - Tableau 11.2- g. The law of large numbers [08-19].mp4

15.2 MB

8 - 8 - Tableau 11.1- h. Why polls work, sample sizes and a slogan [08-25].mp4

15.3 MB

8 - 32 - Tableau 11.3- c. Enter the bell curve- the normal density and distribution function [09-48].mp4

15.9 MB

8 - 18 - Tableau 11.2- d. Independent trials in the continuum [08-51].mp4

16.5 MB

8 - 27 - Tableau 11.2- m. Probabilistic computation- pros and cons, a slogan [09-21].mp4

16.6 MB

8 - 37 - Tableau 11.3- h. Summary of Tableau 11, Part 3, closing comments [07-56].mp4

17.3 MB

8 - 36 - Tableau 11.3- g. One curve to rule them all, the central limit theorem [09-09].mp4

17.9 MB

8 - 4 - Tableau 11.1- d. The dance of error, confidence, and sample size- (2) The mathematical desideratum [10-06].mp4

18.2 MB

8 - 11 - Tableau 11.1- k. How drug testing works- (2) A principled statistical test [10-14].mp4

19.5 MB

8 - 33 - Tableau 11.3- d. A theorem of de Moivre and Laplace [09-29].mp4

19.6 MB

8 - 20 - Tableau 11.2- f. Sums of independent variables [10-44].mp4

19.7 MB

8 - 12 - Tableau 11.1- l. Why drug testing works- (1) Understanding the probability space [11-03].mp4

20.0 MB

8 - 6 - Tableau 11.1- f. The subtle inequality of Pafnuty Chebyshev- (2) The importance of a square [12-52].mp4

20.4 MB

8 - 23 - Tableau 11.2- i. The statistical estimation of a mean, the theory of fair games [10-13].mp4

20.5 MB

8 - 10 - Tableau 11.1- j. How drug testing works- (1) The remit of the FDA [10-14].mp4

20.7 MB

8 - 1 - Tableau 11.1- a. A model for a poll, reasons for optimism [02-32].mp4

21.0 MB

8 - 14 - Tableau 11.1- n. Summary of Tableau 11, Part 1 [10-26].mp4

21.1 MB

8 - 17 - Tableau 11.2- c. Chebyshev, reprised [14-06].mp4

23.3 MB

8 - 26 - Tableau 11.2- l. Physics takes a gamble! Computation à la Monte Carlo [13-20].mp4

24.2 MB

8 - 9 - Tableau 11.1- i. And so, what happened in the US Presidential election of 2000- [12-22].mp4

25.7 MB

8 - 24 - Tableau 11.2- j. A simple computation — and a dimensional tweak to the tale from physics [15-32].mp4

27.2 MB

8 - 28 - Tableau 11.2- n. Quo vadis- The weak and strong law of large numbers [14-18].mp4

27.2 MB

8 - 3 - Tableau 11.1- c. The dance of error, confidence, and sample size- (1) Numerical examples [15-45].mp4

27.5 MB

8 - 25 - Tableau 11.2- k. The value of sampling a function at a random point [15-50].mp4

27.9 MB

8 - 19 - Tableau 11.2- e. The dance of additivity, two slogans [15-39].mp4

28.1 MB

8 - 13 - Tableau 11.1- m. Why drug testing works- (2) What Chebyshev’s inequality has to say [14-37].mp4

28.9 MB

8 - 29 - Tableau 11.2- o. Summary of Tableau 11, Part 2 [16-16].mp4

29.7 MB

8 - 16 - Tableau 11.2- b. Expectation and variance in continuous settings, coordinate transformations [15-58].mp4

30.4 MB

8 - 35 - Tableau 11.3- f. Why polls really work- (2) From quantiles to sample size [18-33].mp4

31.5 MB

8 - 2 - Tableau 11.1- b. The art of the random sample, independence and the subtlety of bias [17-58].mp4

33.9 MB

/Week 3/

4 - 24 - Tableau 8.2- o. Summary of Tableau 8, Part 2 [02-19].srt

2.7 KB

4 - 1 - Tableau 8.1- a. Side information [02-31].srt

2.9 KB

4 - 9 - Tableau 8.1- i. Summary of Tableau 8, Part 1 [02-19].srt

2.9 KB

4 - 21 - Tableau 8.2- l. Pólya%5C's urn scheme- (1) A sanitised model of the spread of contagion [05-10].srt

6.0 KB

4 - 16 - Tableau 8.2- g. Additivity reprised- from partitions to the theorem of total probability [05-38].srt

6.5 KB

4 - 10 - Tableau 8.2- a. A recasting of additivity [07-22].srt

8.3 KB

4 - 20 - Tableau 8.2- k. Reversing the direction of conditioning, Bayes%5C's rule for events [7-01].srt

8.7 KB

4 - 3 - Tableau 8.1- c. The throw of two dice [07-28].srt

8.8 KB

4 - 12 - Tableau 8.2- c. Constructing mass functions from conditional probabilities [07-25].srt

9.2 KB

4 - 22 - Tableau 8.2- m. Pólya%5C's urn scheme- (2) Conditional probabilities along a population growth tree [07-50].srt

9.7 KB

4 - 5 - Tableau 8.1- e. Test your understanding [07-24].srt

9.9 KB

4 - 7 - Tableau 8.1- g. Intersections, the chain rule for conditional probabilities [07-43].srt

10.3 KB

4 - 2 - Tableau 8.1- b. A familial paradox [08-52].srt

11.0 KB

4 - 17 - Tableau 8.2- h. A wager that the sun will rise tomorrow- (1) An urn model [11-05].srt

12.0 KB

4 - 18 - Tableau 8.2- i. A wager that the sun will rise tomorrow- (2) Laplace%5C's law of succession [11-03].srt

12.6 KB

4 - 13 - Tableau 8.2- d. The ballot problem- (1) The setting [10-38].srt

12.9 KB

4 - 6 - Tableau 8.1- f. Is there gender bias in graduate admissions- Simpson’s paradox [12-08].srt

14.2 KB

4 - 4 - Tableau 8.1- d. Conditional probability- the definition [11-11].srt

14.3 KB

4 - 15 - Tableau 8.2- f. The ballot problem- (3) The solution [11-47].srt

14.7 KB

4 - 14 - Tableau 8.2- e. A recurrence for the ballot problem- (2) A long journey ends with a single step [13-08].srt

15.7 KB

4 - 8 - Tableau 8.1- h. Balanced aces in bridge [14-00].srt

18.7 KB

4 - 23 - Tableau 8.2- n. Pólya%5C's urn scheme- (3) Applying Bayes%5C's rule [15-10].srt

19.5 KB

4 - 11 - Tableau 8.2- b. Another tale of two dice [17-32].srt

20.7 KB

4 - 19 - Tableau 8.2- j. Back to the future- the Copernican principle and doomsday predictions [21-56].srt

25.0 KB

The Main Course.pdf

365.3 KB

8. Conditional probability.pdf

473.2 KB

4 - 9 - Tableau 8.1- i. Summary of Tableau 8, Part 1 [02-19].mp4

5.1 MB

4 - 24 - Tableau 8.2- o. Summary of Tableau 8, Part 2 [02-19].mp4

5.9 MB

4 - 1 - Tableau 8.1- a. Side information [02-31].mp4

6.9 MB

4 - 21 - Tableau 8.2- l. Pólya%5C's urn scheme- (1) A sanitised model of the spread of contagion [05-10].mp4

9.2 MB

4 - 22 - Tableau 8.2- m. Pólya%5C's urn scheme- (2) Conditional probabilities along a population growth tree [07-50].mp4

10.8 MB

4 - 16 - Tableau 8.2- g. Additivity reprised- from partitions to the theorem of total probability [05-38].mp4

12.2 MB

4 - 20 - Tableau 8.2- k. Reversing the direction of conditioning, Bayes%5C's rule for events [7-01].mp4

13.1 MB

4 - 5 - Tableau 8.1- e. Test your understanding [07-24].mp4

14.1 MB

4 - 12 - Tableau 8.2- c. Constructing mass functions from conditional probabilities [07-25].mp4

14.7 MB

4 - 7 - Tableau 8.1- g. Intersections, the chain rule for conditional probabilities [07-43].mp4

15.0 MB

4 - 10 - Tableau 8.2- a. A recasting of additivity [07-22].mp4

15.5 MB

4 - 3 - Tableau 8.1- c. The throw of two dice [07-28].mp4

15.8 MB

4 - 13 - Tableau 8.2- d. The ballot problem- (1) The setting [10-38].mp4

18.9 MB

4 - 2 - Tableau 8.1- b. A familial paradox [08-52].mp4

19.5 MB

4 - 17 - Tableau 8.2- h. A wager that the sun will rise tomorrow- (1) An urn model [11-05].mp4

19.8 MB

4 - 15 - Tableau 8.2- f. The ballot problem- (3) The solution [11-47].mp4

19.9 MB

4 - 14 - Tableau 8.2- e. A recurrence for the ballot problem- (2) A long journey ends with a single step [13-08].mp4

20.2 MB

4 - 4 - Tableau 8.1- d. Conditional probability- the definition [11-11].mp4

21.1 MB

4 - 18 - Tableau 8.2- i. A wager that the sun will rise tomorrow- (2) Laplace%5C's law of succession [11-03].mp4

22.0 MB

4 - 23 - Tableau 8.2- n. Pólya%5C's urn scheme- (3) Applying Bayes%5C's rule [15-10].mp4

25.1 MB

4 - 6 - Tableau 8.1- f. Is there gender bias in graduate admissions- Simpson’s paradox [12-08].mp4

25.2 MB

4 - 8 - Tableau 8.1- h. Balanced aces in bridge [14-00].mp4

25.9 MB

4 - 11 - Tableau 8.2- b. Another tale of two dice [17-32].mp4

35.1 MB

4 - 19 - Tableau 8.2- j. Back to the future- the Copernican principle and doomsday predictions [21-56].mp4

52.0 MB

/Week 5/

6 - 17 - Tableau 9.3- q. Success runs- (6) Assembling back to front, second step [02-37] .srt

3.5 KB

6 - 11 - Tableau 9.3- k. The hot hand phenomenon, a statistical test, a slogan [04-57].srt

5.8 KB

6 - 18 - Tableau 9.3- r. Success runs- (7) Assembling back to front, final step [04-49].srt

6.0 KB

6 - 13 - Tableau 9.3- m. Success runs- (2) Additivity once [05-17].srt

6.2 KB

6 - 16 - Tableau 9.3- p. Success runs- (5) Assembling back to front, first step [04-59] .srt

6.8 KB

6 - 4 - Tableau 9.3- d. The casino game of craps- (4) Assembling the jigsaw puzzle, a slogan [06-06].srt

6.8 KB

6 - 6 - Tableau 9.3- f. The lasting influence of lethal genes- (2) Genes and genotypes [05-44].srt

7.2 KB

6 - 2 - Tableau 9.3- b. The casino game of craps- (2) Additivity beckons [06-14].srt

7.9 KB

6 - 5 - Tableau 9.3- e. The lasting influence of lethal genes- (1) The birth of an incendiary theory [07-47].srt

8.7 KB

6 - 7 - Tableau 9.3- g. The lasting influence of lethal genes- (3) Genotypes in the mating population [08-10] .srt

9.6 KB

6 - 10 - Tableau 9.3- j. The lasting influence of lethal genes- (6) The rate of extinction [08-34].srt

9.7 KB

6 - 15 - Tableau 9.3- o. Success runs- (4) Additivity thrice [07-33].srt

9.9 KB

6 - 3 - Tableau 9.3- c. The casino game of craps- (3) Independence saunters in [08-42].srt

10.4 KB

6 - 14 - Tableau 9.3- n. Success runs- (3) Additivity twice [09-01].srt

11.4 KB

6 - 19 - Tableau 9.3- s. Success runs- (8) Generalisations [09-02].srt

12.1 KB

6 - 1 - Tableau 9.3- a. The casino game of craps- (1) The probability space [11-30].srt

13.4 KB

6 - 20 - Tableau 9.3- t. Summary of Tableau 9, Part 3- A return to the hot hand, next steps [10-58].srt

13.7 KB

6 - 9 - Tableau 9.3- i. The lasting influence of lethal genes- (5) Genotype frequencies in the filial generation [13-28].srt

16.0 KB

6 - 8 - Tableau 9.3- h. The lasting influence of lethal genes- (4) Random selection and mating [14-16] .srt

18.3 KB

6 - 12 - Tableau 9.3- l. Success runs- (1) Problem formulation [17-38].srt

21.7 KB

The Main Course.pdf

214.9 KB

9. Independence.pdf

458.6 KB

6 - 17 - Tableau 9.3- q. Success runs- (6) Assembling back to front, second step [02-37] .mp4

4.4 MB

6 - 18 - Tableau 9.3- r. Success runs- (7) Assembling back to front, final step [04-49].mp4

8.9 MB

6 - 16 - Tableau 9.3- p. Success runs- (5) Assembling back to front, first step [04-59] .mp4

9.0 MB

6 - 2 - Tableau 9.3- b. The casino game of craps- (2) Additivity beckons [06-14].mp4

10.3 MB

6 - 11 - Tableau 9.3- k. The hot hand phenomenon, a statistical test, a slogan [04-57].mp4

10.4 MB

6 - 13 - Tableau 9.3- m. Success runs- (2) Additivity once [05-17].mp4

10.4 MB

6 - 4 - Tableau 9.3- d. The casino game of craps- (4) Assembling the jigsaw puzzle, a slogan [06-06].mp4

10.9 MB

6 - 6 - Tableau 9.3- f. The lasting influence of lethal genes- (2) Genes and genotypes [05-44].mp4

11.6 MB

6 - 15 - Tableau 9.3- o. Success runs- (4) Additivity thrice [07-33].mp4

13.4 MB

6 - 3 - Tableau 9.3- c. The casino game of craps- (3) Independence saunters in [08-42].mp4

13.7 MB

6 - 7 - Tableau 9.3- g. The lasting influence of lethal genes- (3) Genotypes in the mating population [08-10] .mp4

14.7 MB

6 - 19 - Tableau 9.3- s. Success runs- (8) Generalisations [09-02].mp4

15.4 MB

6 - 14 - Tableau 9.3- n. Success runs- (3) Additivity twice [09-01].mp4

16.6 MB

6 - 5 - Tableau 9.3- e. The lasting influence of lethal genes- (1) The birth of an incendiary theory [07-47].mp4

17.4 MB

6 - 10 - Tableau 9.3- j. The lasting influence of lethal genes- (6) The rate of extinction [08-34].mp4

18.1 MB

6 - 8 - Tableau 9.3- h. The lasting influence of lethal genes- (4) Random selection and mating [14-16] .mp4

22.5 MB

6 - 1 - Tableau 9.3- a. The casino game of craps- (1) The probability space [11-30].mp4

23.0 MB

6 - 9 - Tableau 9.3- i. The lasting influence of lethal genes- (5) Genotype frequencies in the filial generation [13-28].mp4

23.3 MB

6 - 20 - Tableau 9.3- t. Summary of Tableau 9, Part 3- A return to the hot hand, next steps [10-58].mp4

23.9 MB

6 - 12 - Tableau 9.3- l. Success runs- (1) Problem formulation [17-38].mp4

32.4 MB

/Week 6/

7 - 36 - Tableau 10.2- s. Inter-arrival times [03-33].srt

3.9 KB

7 - 6 - Tableau 10.1- f. Simple applications- (3) Pepys and Newton, a historical befuddlement [03-59].srt

4.6 KB

7 - 15 - Tableau 10.1- o. The expected value of the binomial [03-54].srt

4.7 KB

7 - 5 - Tableau 10.1- e. Simple applications- (2) Return to an urn problem [04-00].srt

4.8 KB

7 - 24 - Tableau 10.2- g. Weird and wonderful observations fitting the Poisson distribution- (1) Fatalities in the Prussian army [04-33].srt

5.3 KB

7 - 27 - Tableau 10.2- j. Weird and wonderful observations fitting the Poisson distribution- (4) On the distribution of wars in history [04-21].srt

5.4 KB

7 - 26 - Tableau 10.2- i. Weird and wonderful observations fitting the Poisson distribution- (3) Radioactive emissions [04-25].srt

5.4 KB

7 - 28 - Tableau 10.2- k. Weird and wonderful observations fitting the Poisson distribution- (5) The distribution of bomb hits on London during World War II [04-34] .srt

5.5 KB

7 - 9 - Tableau 10.1- i. A little calculus [04-12].srt

5.5 KB

7 - 10 - Tableau 10.1- j. Understanding the binomial distribution, the value of a picture .srt

5.6 KB

7 - 37 - Tableau 10.2- t. Waiting times, the gamma distribution [05-04].srt

6.1 KB

7 - 14 - Tableau 10.1- n. A little algebraic spadework- (2) Dealing with squares [05-42].srt

6.7 KB

7 - 39 - Tableau 10.2- v. Summary of Tableau 10, Part 2 [06-04].srt

7.0 KB

7 - 11 - Tableau 10.1- k. Unimodality, the shape of the distribution [06-35].srt

7.1 KB

7 - 30 - Tableau 10.2- m. The unimodality of the Poisson distribution, a little algebra [08-44].srt

7.3 KB

7 - 23 - Tableau 10.2- f. A laundry list of applications of the Poisson distribution [05-34].srt

7.5 KB

7 - 12 - Tableau 10.1- l. Expectation, a notion of centre [06-27].srt

7.6 KB

7 - 4 - Tableau 10.1- d. Simple applications- (1) Psychic tendencies- [06-51].srt

7.9 KB

7 - 13 - Tableau 10.1- m. A little algebraic spadework- (1) The basic binomial identity [07-13].srt

8.3 KB

7 - 29 - Tableau 10.2- l. The Poisson distribution qua distribution [06-58].srt

8.5 KB

7 - 1 - Tableau 10.1- a. Dichotomous populations- political parties, invasive species, defective genes, opinions [07-29] .srt

8.9 KB

7 - 25 - Tableau 10.2- h. Weird and wonderful observations fitting the Poisson distribution- (2) Broadcast authentication [07-47].srt

9.0 KB

7 - 38 - Tableau 10.2- u. Spatial Poisson processes, the distribution of stars [07-38].srt

9.6 KB

7 - 17 - Tableau 10.1- q. Summary of Tableau 10, Part 1 [08-33].srt

9.8 KB

7 - 20 - Tableau 10.2- c. The probability that a jury will convict [07-48].srt

9.9 KB

7 - 31 - Tableau 10.2- n. The expectation of the Poisson distribution [05-48].srt

10.2 KB

7 - 35 - Tableau 10.2- r. Poisson points, waiting times, the exponential distribution reappears [09-44].srt

11.1 KB

7 - 18 - Tableau 10.2- a. Prelude to a discovery- on the proper size of a jury, from Condorcet to the US Supreme Court .srt

11.1 KB

7 - 32 - Tableau 10.2- o. The variance of the Poisson distribution [08-25].srt

11.2 KB

7 - 21 - Tableau 10.2- d. Erroneous conviction or acquittal, outcomes of jury trials in France 1825–1830 [11-11].srt

13.9 KB

7 - 7 - Tableau 10.1- g. Testing sera and vaccines, a statistical test and a slogan [12-47].srt

15.3 KB

7 - 34 - Tableau 10.2- q. Arrivals, independent increments, the Poisson process [13-10].srt

15.4 KB

7 - 19 - Tableau 10.2- b. Poisson’s two-parameter jury model [13-41].srt

16.0 KB

7 - 22 - Tableau 10.2- e. A curious discovery of Poisson, rare events [12-49].srt

16.3 KB

7 - 2 - Tableau 10.1- b. The problem of estimating the sentiment of a large population- Bernoulli trials and a model for a poll [13-50] .srt

16.7 KB

7 - 8 - Tableau 10.1- h. A problem in estimation, the principle of maximum likelihood [13-43].srt

17.0 KB

7 - 33 - Tableau 10.2- p. Traffic, Poisson aggregates, and a stability result [14-33].srt

18.7 KB

7 - 16 - Tableau 10.1- p. Variance, the concept of spread around a centre [08-33].srt

22.8 KB

7 - 3 - Tableau 10.1- c. Enter the binomial, the distribution of accumulated successes [18-50] .srt

23.2 KB

The Main Course.pdf

347.7 KB

10. From polls to bombs.pdf

585.7 KB

7 - 36 - Tableau 10.2- s. Inter-arrival times [03-33].mp4

6.2 MB

7 - 6 - Tableau 10.1- f. Simple applications- (3) Pepys and Newton, a historical befuddlement [03-59].mp4

7.6 MB

7 - 27 - Tableau 10.2- j. Weird and wonderful observations fitting the Poisson distribution- (4) On the distribution of wars in history [04-21].mp4

7.6 MB

7 - 10 - Tableau 10.1- j. Understanding the binomial distribution, the value of a picture .mp4

7.6 MB

7 - 5 - Tableau 10.1- e. Simple applications- (2) Return to an urn problem [04-00].mp4

7.8 MB

7 - 15 - Tableau 10.1- o. The expected value of the binomial [03-54].mp4

7.8 MB

7 - 9 - Tableau 10.1- i. A little calculus [04-12].mp4

7.9 MB

7 - 24 - Tableau 10.2- g. Weird and wonderful observations fitting the Poisson distribution- (1) Fatalities in the Prussian army [04-33].mp4

8.7 MB

7 - 37 - Tableau 10.2- t. Waiting times, the gamma distribution [05-04].mp4

8.9 MB

7 - 26 - Tableau 10.2- i. Weird and wonderful observations fitting the Poisson distribution- (3) Radioactive emissions [04-25].mp4

9.2 MB

7 - 14 - Tableau 10.1- n. A little algebraic spadework- (2) Dealing with squares [05-42].mp4

9.4 MB

7 - 28 - Tableau 10.2- k. Weird and wonderful observations fitting the Poisson distribution- (5) The distribution of bomb hits on London during World War II [04-34] .mp4

9.6 MB

7 - 31 - Tableau 10.2- n. The expectation of the Poisson distribution [05-48].mp4

10.2 MB

7 - 11 - Tableau 10.1- k. Unimodality, the shape of the distribution [06-35].mp4

11.6 MB

7 - 12 - Tableau 10.1- l. Expectation, a notion of centre [06-27].mp4

12.0 MB

7 - 29 - Tableau 10.2- l. The Poisson distribution qua distribution [06-58].mp4

12.2 MB

7 - 23 - Tableau 10.2- f. A laundry list of applications of the Poisson distribution [05-34].mp4

12.3 MB

7 - 13 - Tableau 10.1- m. A little algebraic spadework- (1) The basic binomial identity [07-13].mp4

12.4 MB

7 - 39 - Tableau 10.2- v. Summary of Tableau 10, Part 2 [06-04].mp4

12.7 MB

7 - 4 - Tableau 10.1- d. Simple applications- (1) Psychic tendencies- [06-51].mp4

13.2 MB

7 - 20 - Tableau 10.2- c. The probability that a jury will convict [07-48].mp4

14.3 MB

7 - 32 - Tableau 10.2- o. The variance of the Poisson distribution [08-25].mp4

15.1 MB

7 - 25 - Tableau 10.2- h. Weird and wonderful observations fitting the Poisson distribution- (2) Broadcast authentication [07-47].mp4

15.3 MB

7 - 30 - Tableau 10.2- m. The unimodality of the Poisson distribution, a little algebra [08-44].mp4

16.7 MB

7 - 35 - Tableau 10.2- r. Poisson points, waiting times, the exponential distribution reappears [09-44].mp4

17.0 MB

7 - 38 - Tableau 10.2- u. Spatial Poisson processes, the distribution of stars [07-38].mp4

17.6 MB

7 - 17 - Tableau 10.1- q. Summary of Tableau 10, Part 1 [08-33].mp4

18.3 MB

7 - 1 - Tableau 10.1- a. Dichotomous populations- political parties, invasive species, defective genes, opinions [07-29] .mp4

18.4 MB

7 - 21 - Tableau 10.2- d. Erroneous conviction or acquittal, outcomes of jury trials in France 1825–1830 [11-11].mp4

19.4 MB

7 - 22 - Tableau 10.2- e. A curious discovery of Poisson, rare events [12-49].mp4

22.4 MB

7 - 18 - Tableau 10.2- a. Prelude to a discovery- on the proper size of a jury, from Condorcet to the US Supreme Court .mp4

23.9 MB

7 - 7 - Tableau 10.1- g. Testing sera and vaccines, a statistical test and a slogan [12-47].mp4

24.2 MB

7 - 34 - Tableau 10.2- q. Arrivals, independent increments, the Poisson process [13-10].mp4

24.6 MB

7 - 8 - Tableau 10.1- h. A problem in estimation, the principle of maximum likelihood [13-43].mp4

25.5 MB

7 - 19 - Tableau 10.2- b. Poisson’s two-parameter jury model [13-41].mp4

27.4 MB

7 - 33 - Tableau 10.2- p. Traffic, Poisson aggregates, and a stability result [14-33].mp4

28.0 MB

7 - 2 - Tableau 10.1- b. The problem of estimating the sentiment of a large population- Bernoulli trials and a model for a poll [13-50] .mp4

29.0 MB

7 - 16 - Tableau 10.1- p. Variance, the concept of spread around a centre [08-33].mp4

32.1 MB

7 - 3 - Tableau 10.1- c. Enter the binomial, the distribution of accumulated successes [18-50] .mp4

33.2 MB

/Week 4/

5 - 6 - Tableau 9.1- f. Summary of Tableau 9, Part 1 [3-16].srt

4.2 KB

5 - 8 - Tableau 9.2- b. Examples- (1) Coin tosses constitute independent trials [05-45].srt

6.9 KB

5 - 12 - Tableau 9.2- f. Independent families of events, a formidable definition [06-23].srt

7.1 KB

5 - 16 - Tableau 9.2- j. Summary of Tableau 9, Part 2 [06-36] .srt

7.6 KB

5 - 7 - Tableau 9.2- a. An extended multiplication table- what it means for three events to be independent [06-45].srt

8.0 KB

5 - 3 - Tableau 9.1- c. Test your understanding- (1) Relative ranks [06-40].srt

8.4 KB

5 - 10 - Tableau 9.2- d. Test your understanding- (1) Complements and a slogan [07-17].srt

9.0 KB

5 - 11 - Tableau 9.2- e. Test your understanding- (2) Disjoint groupings, another slogan [07-33].srt

9.4 KB

5 - 13 - Tableau 9.2- g. Independent trials- (1) The wisdom in the toss of a coin [08-42].srt

10.5 KB

5 - 2 - Tableau 9.1- b. Independent events and what it implies for conditional probabilities [10-11].srt

13.6 KB

5 - 5 - Tableau 9.1- e. A variation on the theme of independence- conditional independence, the random selection of a coin [11-38].srt

14.4 KB

5 - 9 - Tableau 9.2- c. Examples- (2) An example of Bernstein, pairwise independence does not imply independence [12-02].srt

14.7 KB

5 - 1 - Tableau 9.1- a. A multiplication table of possibilities- coin tosses, cards [14-37].srt

19.1 KB

5 - 4 - Tableau 9.1- d. Test your understanding- (2) A familial question and an unexpected result [15-12].srt

20.3 KB

5 - 15 - Tableau 9.2- i. Independent trials- (3) The general abstract setting, one slogan to pull it all together [16-34].srt

20.4 KB

5 - 14 - Tableau 9.2- h. Independent trials- (2) Product space and measure, distinct trials engender independent events [26-59].srt

32.7 KB

The Main Course.pdf

265.9 KB

9. Independence.pdf

427.2 KB

5 - 6 - Tableau 9.1- f. Summary of Tableau 9, Part 1 [3-16].mp4

7.7 MB

5 - 8 - Tableau 9.2- b. Examples- (1) Coin tosses constitute independent trials [05-45].mp4

10.1 MB

5 - 12 - Tableau 9.2- f. Independent families of events, a formidable definition [06-23].mp4

11.8 MB

5 - 7 - Tableau 9.2- a. An extended multiplication table- what it means for three events to be independent [06-45].mp4

13.7 MB

5 - 10 - Tableau 9.2- d. Test your understanding- (1) Complements and a slogan [07-17].mp4

13.8 MB

5 - 3 - Tableau 9.1- c. Test your understanding- (1) Relative ranks [06-40].mp4

14.0 MB

5 - 16 - Tableau 9.2- j. Summary of Tableau 9, Part 2 [06-36] .mp4

14.7 MB

5 - 11 - Tableau 9.2- e. Test your understanding- (2) Disjoint groupings, another slogan [07-33].mp4

14.7 MB

5 - 13 - Tableau 9.2- g. Independent trials- (1) The wisdom in the toss of a coin [08-42].mp4

16.9 MB

5 - 9 - Tableau 9.2- c. Examples- (2) An example of Bernstein, pairwise independence does not imply independence [12-02].mp4

20.2 MB

5 - 2 - Tableau 9.1- b. Independent events and what it implies for conditional probabilities [10-11].mp4

20.8 MB

5 - 5 - Tableau 9.1- e. A variation on the theme of independence- conditional independence, the random selection of a coin [11-38].mp4

22.7 MB

5 - 4 - Tableau 9.1- d. Test your understanding- (2) A familial question and an unexpected result [15-12].mp4

27.1 MB

5 - 1 - Tableau 9.1- a. A multiplication table of possibilities- coin tosses, cards [14-37].mp4

29.7 MB

5 - 15 - Tableau 9.2- i. Independent trials- (3) The general abstract setting, one slogan to pull it all together [16-34].mp4

30.0 MB

5 - 14 - Tableau 9.2- h. Independent trials- (2) Product space and measure, distinct trials engender independent events [26-59].mp4

47.8 MB

/Week 3/pdf/

8_1A.pdf

89.0 KB

8_2L.pdf

128.5 KB

Tableau 8.1.63.pdf

183.1 KB

8_1D.pdf

227.1 KB

8_2K.pdf

236.4 KB

8_2A.pdf

246.5 KB

8_2O.pdf

248.6 KB

8_1B.pdf

250.1 KB

8_2E.pdf

254.1 KB

8_1G.pdf

259.9 KB

8_1E.pdf

287.3 KB

8_1C.pdf

300.9 KB

8_2F.pdf

329.4 KB

8_2G.pdf

339.7 KB

8_2C.pdf

356.2 KB

8_2B.pdf

370.0 KB

8_2D.pdf

388.3 KB

8_1F.pdf

396.3 KB

8_2M.pdf

431.3 KB

8_1H.pdf

650.6 KB

8_2N.pdf

678.5 KB

8_2H.pdf

845.8 KB

8_2J.pdf

6.4 MB

8_2I.pdf

6.9 MB

/Week 7/pdf/

11_3A.pdf

98.4 KB

11_1J.pdf

103.5 KB

11_2A.pdf

105.6 KB

11_2M.pdf

110.4 KB

11_1G.pdf

202.2 KB

11_3G.pdf

205.0 KB

11_1K.pdf

207.8 KB

11_1D.pdf

218.2 KB

11_2I.pdf

226.3 KB

11_1B.pdf

242.2 KB

11_1I.pdf

247.9 KB

11_2H.pdf

252.2 KB

11_3H.pdf

253.5 KB

11_3E.pdf

305.6 KB

11_3D.pdf

325.7 KB

11_1H.pdf

366.3 KB

11_1M.pdf

408.4 KB

11_1L.pdf

431.5 KB

11_2O.pdf

432.9 KB

11_1E.pdf

466.7 KB

11_2B.pdf

469.2 KB

11_1F.pdf

507.3 KB

11_2F.pdf

535.5 KB

11_1A.pdf

561.6 KB

11_1N.pdf

564.2 KB

11_3F.pdf

569.9 KB

11_2N.pdf

572.0 KB

11_2G.pdf

600.2 KB

11_2C.pdf

623.4 KB

11_2J.pdf

752.0 KB

11_1C.pdf

807.3 KB

11_3B.pdf

874.0 KB

11_2E.pdf

970.8 KB

11_2K.pdf

979.0 KB

11_2L.pdf

998.5 KB

11_3C.pdf

1.0 MB

11_2D.pdf

1.3 MB

/Week 6/pdf/

10_2F.pdf

99.9 KB

10_2H.pdf

165.7 KB

10_1E.pdf

174.7 KB

10_1G.pdf

214.7 KB

10_2I.pdf

221.6 KB

10_2J.pdf

224.7 KB

10_1F.pdf

226.3 KB

10_1L.pdf

226.4 KB

10_2G.pdf

254.4 KB

10_1K.pdf

273.3 KB

10_1D.pdf

286.3 KB

10_1I.pdf

293.9 KB

10_1O.pdf

320.6 KB

10_2S.pdf

322.7 KB

10_2L.pdf

327.6 KB

10_2A.pdf

352.9 KB

10_1M.pdf

366.9 KB

10_1N.pdf

371.1 KB

10_2T.pdf

374.1 KB

10_2C.pdf

404.6 KB

10_2Q.pdf

405.6 KB

10_1Q.pdf

415.0 KB

10_1J.pdf

415.5 KB

10_2N.pdf

421.8 KB

10_2M.pdf

427.2 KB

10_2E.pdf

444.1 KB

10_2R.pdf

472.5 KB

10_2D.pdf

488.8 KB

10_2O.pdf

566.3 KB

10_2B.pdf

626.8 KB

10_1H.pdf

643.5 KB

10_1P.pdf

659.0 KB

10_1B.pdf

672.3 KB

10_2P.pdf

698.0 KB

10_1C.pdf

770.4 KB

10_1A.pdf

1.5 MB

10_2U.pdf

2.3 MB

10_2V.pdf

5.2 MB

10_2K.pdf

5.6 MB

/Week 8/pdf/

12_1A.pdf

106.7 KB

12_2A.pdf

117.6 KB

12_1G.pdf

160.9 KB

12_2D.pdf

299.6 KB

12_1B.pdf

317.3 KB

12_2E.pdf

323.2 KB

12_1I.pdf

341.2 KB

12_1M.pdf

353.8 KB

12_1L.pdf

354.2 KB

12_1O.pdf

367.6 KB

12_1E.pdf

394.5 KB

12_2F.pdf

449.8 KB

12_2H.pdf

479.1 KB

12_2I.pdf

485.8 KB

12_1F.pdf

501.6 KB

12_1C.pdf

505.1 KB

12_1D.pdf

532.1 KB

12_2L.pdf

608.5 KB

12_1H.pdf

733.1 KB

12_2G.pdf

793.4 KB

12_2J.pdf

854.5 KB

12_2K.pdf

1.9 MB

12_2B (1).pdf

2.0 MB

12_2B.pdf

2.0 MB

12_1J.pdf

4.5 MB

12_1N.pdf

6.1 MB

12_1K.pdf

6.5 MB

12_2C.pdf

12.2 MB

/Week 2/pdf/

5A.pdf

120.9 KB

5B.pdf

141.9 KB

6_1A.pdf

173.8 KB

6_1F.pdf

178.6 KB

5C.pdf

208.4 KB

5E.pdf

226.7 KB

5F.pdf

240.1 KB

5J.pdf

248.7 KB

5D.pdf

254.6 KB

5H.pdf

257.5 KB

6_1E.pdf

279.2 KB

6_2A.pdf

286.2 KB

6_2B.pdf

295.7 KB

5I.pdf

296.0 KB

6_2F.pdf

342.6 KB

6_1C.pdf

368.1 KB

6_2C.pdf

378.8 KB

6_2E.pdf

407.7 KB

5K.pdf

417.3 KB

6_2G.pdf

421.8 KB

5G.pdf

441.4 KB

6_1B.pdf

485.0 KB

6_1D.pdf

532.0 KB

6_2J.pdf

545.5 KB

6_2H.pdf

670.7 KB

7B.pdf

670.8 KB

6_2D.pdf

723.7 KB

7A.pdf

723.8 KB

7C.pdf

1.3 MB

7D.pdf

3.0 MB

6_2K.pdf

5.4 MB

6_2I.pdf

6.0 MB

7E.pdf

7.7 MB

/Week 0/pdf/

1_2D.pdf

134.0 KB

1_2C.pdf

155.2 KB

1_2B.pdf

155.8 KB

Preamble-sliver1.pdf

175.1 KB

Preamble-sliver3.pdf

183.0 KB

Preable-sliver4.pdf

183.6 KB

Preamble-sliver2.pdf

287.9 KB

1_2A.pdf

576.6 KB

2_2D.pdf

1.1 MB

2_1F.pdf

1.1 MB

2_2B.pdf

1.1 MB

2_2F.pdf

1.2 MB

2_2A.pdf

1.2 MB

2_2C.pdf

1.3 MB

2_2E.pdf

1.3 MB

2_1A.pdf

1.3 MB

2_1E.pdf

1.5 MB

2_1B.pdf

2.4 MB

2_1D.pdf

4.7 MB

2_1C.pdf

6.8 MB

Tableau 1.1.pdf

7.0 MB

/Week 5/pdf/

9_3K.pdf

147.8 KB

9_3T.pdf

209.5 KB

9_3M.pdf

210.7 KB

9_3G.pdf

256.6 KB

9_3S.pdf

280.6 KB

9_3D.pdf

291.5 KB

9_3P.pdf

305.0 KB

9_3N.pdf

332.7 KB

9_3A.pdf

342.7 KB

9_3Q.pdf

366.1 KB

9_3L.pdf

398.9 KB

9_3J.pdf

417.2 KB

9_3R.pdf

434.2 KB

9_3B.pdf

438.7 KB

9_3C.pdf

443.6 KB

9_3O.pdf

598.8 KB

9_3H.pdf

604.8 KB

9_3F.pdf

621.5 KB

9_3I.pdf

1.1 MB

9_3E.pdf

4.4 MB

/Week 4/pdf/

9_2E.pdf

157.8 KB

9_2D.pdf

190.6 KB

9_1F.pdf

218.6 KB

9_2G.pdf

223.7 KB

9_2B.pdf

242.5 KB

9_1C.pdf

244.7 KB

9_2I.pdf

268.8 KB

9_1B.pdf

283.2 KB

9_2F.pdf

288.8 KB

9_2J.pdf

301.2 KB

9_2C.pdf

334.4 KB

9_1E.pdf

373.6 KB

9_1A.pdf

386.0 KB

9_1D.pdf

449.5 KB

9_2H.pdf

488.6 KB

9_2A.pdf

583.6 KB

/Week 1/pdf/

4E.pdf

179.9 KB

4H.pdf

191.4 KB

4C.pdf

209.2 KB

4G.pdf

246.6 KB

4F.pdf

255.3 KB

4B.pdf

335.8 KB

4D.pdf

479.4 KB

3_1A.pdf

1.0 MB

3_3C.pdf

1.1 MB

3_2A.pdf

1.1 MB

3_1F.pdf

1.1 MB

3_2E.pdf

1.1 MB

3_1D.pdf

1.1 MB

3_1E.pdf

1.2 MB

3_3B.pdf

1.2 MB

3_1B.pdf

1.3 MB

3_3A.pdf

1.3 MB

3_2B.pdf

1.4 MB

3_2C.pdf

1.5 MB

3_2D.pdf

1.8 MB

4A.pdf

4.7 MB

/

Course Format.pdf

361.6 KB

Syllabus.pdf

441.0 KB

GettingStarted.pdf

1.1 MB

/Homeworks/

1.pdf

1.6 MB

4.pdf

2.3 MB

6.pdf

2.4 MB

5.pdf

2.5 MB

2.pdf

3.0 MB

3.pdf

3.3 MB

7.pdf

3.8 MB

 

Total files 752


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