The mathematical statistics prerequisite should cover the following topics:

- Combinatorics and basic set theory notation
- Probability definitions and properties
- Common discrete and continuous distributions
- Bivariate distributions
- Conditional probability
- Random variables, expectation, variance
- Univariate and bivariate transformations
- Convergence of random variables: in probability, in distribution, almost sure
- Central Limit Theorem, Laws of Large Numbers
- Estimation: bias, MSE, consistency, sufficiency, maximum likelihood, method of moments, UMVUE, Rao-Blackwell Theorem, Fisher Information
- Hypothesis testing: significance level and power, Neyman-Pearson lemma, Likelihood ratio tests
- Confidence Intervals: definitions, duality with hypothesis tests