Description:
A program that focuses on the mathematical theory underlying statistical methods and their use. Includes instruction in probability theory parametric and non-parametric inference, sequential analysis, multivariate analysis, Bayesian analysis, experimental design, time series analysis, resampling, robust statistics, limit theory, infinite particle systems, stochastic processes, martingales, Markov processes, and Banach spaces.
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The required and elective courses you would take for Mathematical Statistics and Probability majors vary considerably among institutions. Courses are listed here that are illustrative of the breadth of topics you are likely to experience were you to major in this field.