Topic: Modes of Convergence

Escaping Rare Mass and Degenerate Distributional Limits

Equal Marginals Do Not Guarantee Convergence in Probability

Convergence in Probability Implies Convergence in Distribution

Convergence in Distribution Through CDFs

Convergence in Distribution to a Constant

CDF Convergence at Jumps and Atoms

Bounded Continuous Functions and Distributional Convergence

Almost-Sure Convergence Without Summable Error Probabilities

Almost-Sure Convergence Through Sample Paths

Almost-Sure Convergence Through Tail Suprema