34:51Section 1.4 - "Conditional distributions" - part 1
A 35-minute video from Probability Theory: “Section 1.4 - "Conditional distributions" - part 1”.
Probability Theory
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34:51
29:42Section 1.4 - "Conditional distributions" - part 2
A 30-minute video from Probability Theory: “Section 1.4 - "Conditional distributions" - part 2”.
39:33Section 4.4 part 1 - "Wasserstein distance"
A 40-minute video from Probability Theory: “Section 4.4 part 1 - "Wasserstein distance"”.
38:11Section 4.4 part 2 - "Kantorovich-Rubinstein theorem"
A 38-minute video from Probability Theory: “Section 4.4 part 2 - "Kantorovich-Rubinstein theorem"”.
35:46Section 4.5 part 1 - "Wasserstein distance and entropy"
A 36-minute video from Probability Theory: “Section 4.5 part 1 - "Wasserstein distance and entropy"”.
37:58Section 4.5 part 2 - "Wasserstein distance and entropy"
A 38-minute video from Probability Theory: “Section 4.5 part 2 - "Wasserstein distance and entropy"”.
52:21Section 5.1 - "Martingales. Uniform integrability."
A 52-minute video from Probability Theory: “Section 5.1 - "Martingales. Uniform integrability."”.
46:35Section 5.2 - "Stopping times. Optional stopping theorem" - part 1
A 47-minute video from Probability Theory: “Section 5.2 - "Stopping times. Optional stopping theorem" - part 1”.
57:34Section 5.2 - "Stopping times. Optional stopping theorem" - part 2
A 58-minute video from Probability Theory: “Section 5.2 - "Stopping times. Optional stopping theorem" - part 2”.
28:45Section 5.3 - "Doob's inequalities. Convergence of martingales" - part 1
A 29-minute video from Probability Theory: “Section 5.3 - "Doob's inequalities. Convergence of martingales" - part 1”.
28:18Section 5.3 - "Doob's inequalities. Convergence of martingales" - part 2
A 28-minute video from Probability Theory: “Section 5.3 - "Doob's inequalities. Convergence of martingales" - part 2”.
42:18Section 6.1 - "Brownian motion. Stochastic processes" - part 1
A 42-minute video from Probability Theory: “Section 6.1 - "Brownian motion. Stochastic processes" - part 1”.
20:32Section 6.1 - "Brownian motion. Stochastic processes" - part 2
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24:40Section 6.2 - "Donsker's invariance principle" - part 1
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41:24Section 6.3 - "Convergence of empirical process to Brownian bridge" - part 1
A 41-minute video from Probability Theory: “Section 6.3 - "Convergence of empirical process to Brownian bridge" - part 1”.
44:14Section 6.3 - "Convergence of empirical process to Brownian bridge" - part 2
A 44-minute video from Probability Theory: “Section 6.3 - "Convergence of empirical process to Brownian bridge" - part 2”.
36:19Section 6.4 - "Reflection principles for Brownian motion" - part 1
A 36-minute video from Probability Theory: “Section 6.4 - "Reflection principles for Brownian motion" - part 1”.
40:39Section 6.4 - "Reflection principles for Brownian motion" - part 2
A 41-minute video from Probability Theory: “Section 6.4 - "Reflection principles for Brownian motion" - part 2”.
39:04Section 6.5 - "Skorohod's imbedding and laws of the iterated logarithm" - part 1
A 39-minute video from Probability Theory: “Section 6.5 - "Skorohod's imbedding and laws of the iterated logarithm" - part 1”.
35:57Section 7.1 - "Overview of Poisson processes" - part 1
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38:39Section 7.1 - "Overview of Poisson processes" - part 2
A 39-minute video from Probability Theory: “Section 7.1 - "Overview of Poisson processes" - part 2”.
22:44Section 7.2 - "Sums over Poisson processes"
A 23-minute video from Probability Theory: “Section 7.2 - "Sums over Poisson processes"”.
30:40Section 7.3 - "Infinitely divisible distributions: basic properties" - part 1
A 31-minute video from Probability Theory: “Section 7.3 - "Infinitely divisible distributions: basic properties" - part 1”.
33:49Section 7.3 - "Infinitely divisible distributions: basic properties" - part 2
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32:03Section 7.4 - "Canonical representations of infinitely divisible distributions" - part 1
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17:37Section 7.4 - "Canonical representations of infinitely divisible distributions" - part 2
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26:37Section 7.5 - "Alpha-stable distributions and Lévy processes".
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37:11Section 8.2, part 1 - "De Finetti's theorem"
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29:52Section 8.2, part 2 - "Aldous-Hoover representation"
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31:41Section 8.3 "Dovbysh-Sudakov representation"
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