Random Systems

The Nature of Mathematical Modeling (draft)

  • random variables
  • probability distributions
  • expectations
  • moments
  • transforms
  • joint distributions
  • correlation
  • Bayes
  • Central Limit Theorem
  • entropy
  • Wiener-Khinchin
  • Markov
  • stochastic differential equations
  • RNG
  • LFSR
  • random algorithms

Problems

  1. Gaussian generator
  2. LFSR age of universe
  3. simulate vs solve diffusion equation