DSES-6050

Stochastic Processes

A foundational course to introduce the theory of stochastic processes and how it is used to mathematically model a wide variety of empirical phenomena such as queuing systems, inventory control, telecommunications and data networks, and reliability and maintainability. Topics include review of probability, random variables, and conditional expectation; definition of various classes of stochastic processes and their properties; the homogeneous, nonhomogeneous, and compound Poisson processes; renewal processes, discrete and continuous parameter Markov chains, birth and death processes. Prerequisites: calculus, DSES-4750 (MATP-4600). Corequisite: DSES-4760 (MATP-4620). Spring term even-numbered years.

3 credit hours