Topic: Central Limit Theorems

Singular Covariance Matrices in Multivariate Limits

Normal Limits for Sample Means and Sums

Normal Limits for Poisson-Binomial Sums

Normal Limits for Poisson and Gamma Sums

Multivariate CLTs for Independent Arrays

Multinomial Counts and Their Joint Normal Approximation

Lyapunov’s Theorem for Nonidentical Sums

Infinitesimal Arrays and Feller’s Condition

Continuity Corrections for Lattice Sums

Checking Lyapunov Conditions in Examples