MAT615: Theory of Stochastic Processes 6 credits (40-20-0)

Objectives

To survey the basic stochastic processes that are necessary ingredients for building models for a wide variety of phenomena exhibiting time varying randomness.

Contents

Discrete and continuous time stochastic processes; point and counting process; Poisson counting process; non-stationary Poisson process; renewal theory; regenerative processes and Markov Chains; Stochastic Differential equations.