Topic: Laws of Large Numbers

Worked Theorem-Selection Problems for IID and Independent Samples

Weak Versus Strong Laws for Sample Averages

When Dependence Breaks a Law of Large Numbers

Uniform Empirical-CDF Convergence by Finite Grids

Uniform Integrability and Weak Laws for Triangular Arrays

Variance-Sum Criteria for Nonidentical Weak Laws

Truncation Proof of the Weak Law With Finite First Moments

Strong Laws for Empirical Moments

Pointwise Convergence of the Empirical Distribution Function

Pairwise Independence in Weak-Law Arguments