Sumários

Lecture 05

26 Setembro 2022, 10:00 • Telmo Peixe

  1. Resolution of exercises: 17 (list 1).
  2. Measure and probability: measures and properties, Carathéodory extension Theorem, examples of measures.

Lecture 04

21 Setembro 2022, 08:30 • Telmo Peixe

  1. Resolution of exercises: 13, 14, 15 (list1).
  2. Measure and probability: measures and properties, continuity property.

Lecture 03

19 Setembro 2022, 10:00 • Telmo Peixe

  1. Resolution of exercises: 9, 12 (list1).
  2. Measure and probability: monotone classes, product sigma-algebras, measures.

Lecture 02

14 Setembro 2022, 08:30 • Telmo Peixe

  1. Resolution of exercises: 2, 3 (list1).
  2. Measure and probability: generation of sigma-algebras, Borel sets.

Lecture 01

12 Setembro 2022, 10:00 • Telmo Peixe

  1. Presentation: course webpage, program, assessment, bibliography.
  2. Things that you should know before starting (Appendix A of the lecture notes).
  3. Measure and probability: sigma-algebra, measurable sets.