2 problems

Let $X$ be a centred, non-degenerate random vector, and let $R(t)={\mathbb E}[\cos(t^\top X)]$ and $M(t)={\mathbb E}[\exp(t^\top X)]$ denote its real characteristic-function part a…

Let $T_{n,\gamma}$ be the test statistic for testing multivariate normality, and let an alternative distribution mean any distribution other than the null multivariate normal distr…