Probability Theory

Course description

This course introduces probability spaces, random variables, expectation, conditional probability, limit theorems, and random vectors.

Materials

  • Lecture notes
  • Seminar notes
  • Problem sets
  • Jupyter notebooks
  • Previous examinations

Topics

  1. Probability spaces
  2. Conditional probability
  3. Random variables
  4. Expectation and variance
  5. Random vectors
  6. Laws of large numbers
  7. Central limit theorem
  8. Conditional expectation