Stochastic Processes

(3 Credits)

This Doctoral course will serve as an introductory course to stochastic processes We will closely follow the book Stochastic Processes by Ross The course will begin with a one week review of basic concepts in probability and then proceed to the study of Poisson processes renewal processes discrete time Markov chains and finally continuous time Markov chains The are no prerequisites for the course however a calculus based understanding of probability is helpful Courses in analysis and measure theory are not required A tentative course outline is as follows