Topic: Statistical Theory I - Probability and Distribution Theory

The Lindeberg–Feller Central Limit Theorem

The Exact Pointwise Law of the Empirical CDF

The Exponential Representation of Uniform Spacings

The Joint Generating Function of Multinomial Counts

The Gamma Function and Its Recurrence

The Finite-Sample Distribution of the Sample Median

The Joint Law of Sample Minimum and Maximum

The Law of Total Covariance

The Hypergeometric Mean from Draw Indicators

The Law of Total Variance