HAX603X - Stochastic modeling (2023 - 2024)

Randomize and simulate!
statistics
optimization
machine learning

This is an undergraduate course (in French!) introducing standard techniques from stochastic modeling. Numerical elements are provided in Python.

Course content

See GitHub website: HAX603X - Modélisation Stochastique for the course content.

  1. Generating randomness
    • Pseudo-random number generators
    • Digital illustrations and visualization in Python (law of large numbers, central limit theorem)
    • Simulations of random variables (inverse method, rejection method, specific cases, etc.)
  2. Monte Carlo Method
    • Monte Carlo method for the approximate calculation of an integral
    • Variance reduction: antithetic variables, control variables, preferential sampling.
  3. Supplementary topics
    • Gaussian vectors and their connection with common laws in inferential statistics (Student’s t, chi-square)
    • Construction of confidence intervals.
    • Simple random walk, etc.

Additional Resources

Beginner Level

Advanced Level