Stochastic Comparison: Theory and Applications

3 credits · Graduate

Stochastic comparison methods (also known as stochastic orders) are mathematical constructs for comparing stochastic variates and systems. They are used in diverse fields to derive structural results, bounds, and approximations. This course will survey the main concepts and techniques of univariate and multivariate stochastic orders. We will also discuss applications of these tools in operations management and related areas. Prerequisite: A course on probability or stochastic processes.