ABSTRACT

A thorough grounding in Markov chains and martingales is essential in dealing with many problems in applied probability, and is a gateway to the more complex situations encountered in the study of stochastic processes. Exercises are a fundamental and valuable training tool that deepen students' understanding of theoretical principles and prepare th

chapter 1|14 pages

Conditional Expectations

chapter 2|8 pages

Stochastic Processes

chapter 3|50 pages

Martingales

chapter 4|116 pages

Markov Chains