Probability Measures, Lebesgue Measure on R, Random Variables, Probability Densities and Distributions, Lebesgue-Stieltjes integration, Independence, Convergence (almost surely, in probability, and in distribution), Product Probabilities, Key Inequalities (Markov, Chebyshev, Hölder, Jensen, and Paley-Zygmund), Characteristic functions, Law of Large Numbers, Central Limit Theorem, Concentration Inequalities, Applications to problems in analysis, geometry, and combinatorics Prerequisites: MATH 214 and MATH 216, or MATH 217.
| Section | Capacity | Class times | Login to view Instructor(s) and Location |
|---|---|---|---|
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LECTURE Q1
(83015) |
15 |
2027-01-04 - 2027-04-09 (TR)
14:00 - 15:20
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