Sumários

Lecture 15

2 Novembro 2022, 08:30 • Telmo Peixe

  1. Resolution of exercise 7.a,b), 8.a,b) of list 4.
  2. Distributions (Chp. 5): convergence in distribution, characteristic functions.
  3. Independence (Chp. 6): independent events, independent random variables, independent sigma-algebras.

Lecture 14

31 Outubro 2022, 10:00 • Telmo Peixe

  1. Resolution of exercise 1, 2, and 4.a) of list 4.
  2. Distributions (Chp. 5): simple examples, distribution functions, as classification of distributions.

Lecture 13

26 Outubro 2022, 08:30 • Telmo Peixe

  1. Resolution of exercise 7. (d) of list 3.
  2. Lebesgue integral (Chp. 4): signed measures, and Radon-Nikodym Theorem.
  3. Distributions (Chp. 5): definition.

Lecture 12

24 Outubro 2022, 10:00 • Telmo Peixe

  1. Resolution of exercise 7. (e) of list 3.
  2. Lebesgue integral (Chp. 4): Fubini Theorem, signed measures.

Lecture 11

19 Outubro 2022, 08:30 • Telmo Peixe

Lebesgue integral (Chp. 4): convergence theorems.