# Proof of the multivariate Central Limit Theorem

Casella and Lerner's "Theory of Point Estimation" (2nd edition) provides a definition of the multivariate Central Limit Theorem, for which no proof is given.

What would be its derivation?

• If you can refer to the 1-D CLT, then the result automatically follows from Cramer-Wold device. – Sangchul Lee Apr 12 at 21:10