A review of probability theory foundations

Enseignant responsable :

Volume horaire : 15

Description du contenu de l'enseignement :

  • Measure theory and integration
  • Random variables, independence, inequalities
  • Convergence of random variables, limit theorems
  • Conditioning
  • Stochastic processes, stopping times, martingales
  • Gaussian vectors
  • Brownian motion

Compétence à acquérir :

  • Measure theory and integration
  • Random variables, independence, inequalities
  • Convergence of random variables, limit theorems
  • Conditioning
  • Stochastic processes, stopping times, martingales
  • Gaussian vectors
  • Brownian motion