Review of discrete Markov chains and Poisson processes; continuous time Markov chains; pure jump Markov processes, and birth and death processes including the Q-matrix approach; the Kolmogorov equations; renewal theory; introduction to Brownian motion; queueing theory. Prerequisite(s): STAT 3506 or permission of the School.Also offered at the graduate level, with different requirements, as STAT 5701, for which additional credit is precluded.Lectures three hours a week.
Review of discrete Markov chains and Poisson processes; continuous time Markov chains; pure jump Markov processes, and birth and death processes including the Q-matrix approach; the Kolmogorov equations; renewal theory; introduction to Brownian motion; queueing theory. Prerequisite(s): STAT 3506 or permission of the School.Also offered at the graduate level, with different requirements, as STAT 5701, for which additional credit is precluded.Lectures three hours a week.