An introduction to stochastic orders discusses this powerful tool that can be used in comparing probabilistic models in different areas such as reliability, survival analysis, risks, finance, and economics. The book provides a general background on this topic for students and researchers who want to use it as a tool for their research. In addition, users will find detailed proofs of the main results and applications to several probabilistic models of interest in various fields, along with discussions of fundamental properties of several stochastic orders in both univariate and multivariate cases. It introduces stochastic orders and their notation, discusses different orders of univariate stochastic orders, and explains multivariate stochastic orders and their convex, likelihood ratio, and dispersive orders.