Source: wikibot/cramer-wold-theorem
= Cramér–Wold theorem
{wiki=Cramér–Wold_theorem}
The Cramér–Wold theorem is a result in probability theory that provides a characterization of multivariate normal distributions. It states that a random vector follows a multivariate normal distribution if and only if every linear combination of its components is normally distributed. More formally, let \\( X = (X_1, X_2, \\ldots, X_n) \\) be a random vector in \\( \\mathbb\{R\}^n \\).