Suppose that $X_n$ are random variables that converge to $X$ in distribution and $f$ is a continuous function prove that $f(X_n)$ also converge to $f(X)$ in distribution
I have no idea which theorem or kind of method I should use. Thanks!
Suppose that $X_n$ are random variables that converge to $X$ in distribution and $f$ is a continuous function prove that $f(X_n)$ also converge to $f(X)$ in distribution
I have no idea which theorem or kind of method I should use. Thanks!