Topic: Statistical Theory I - Probability and Distribution Theory

Variance-Sum Criteria for Nonidentical Weak Laws

Validity Diagnostics for Joint PMFs and Densities

Uniform Spacings and the Simplex Constraint

Uniformity of Rank Permutations

Uniform Density and CDF on a Finite Interval

Uniform, Triangular, and Arcsine Beta Special Cases

Validity Conditions for Transform-Based Identification

Variance Bounds from Bounded Supports

Uniqueness of a Distribution from Its CDF

Valid Correlation Matrices