1.2 Distribution functions
1.3 Absolutely continuous and singular distributions
2.2 Probability measures and their distribution functions
3.2 Properties of mathematical expectation
Quiz 1, Oct. 12
3.3 Independence
4.2 Almost sure convergence; Borel-Cantelli lemma
4.3 Vague convergence
Quiz 2, Nov. 16
4.4 Continuation
4.5 Uniform integrability: convergence of moments
Final exam, Dec. 7, 7:00-9:00pm