2 problems

Let $P=(p_j)_{j\geq 1}$ be a distribution, let $\mathbf{X}_n$ be an independent sample of size $n$, and let $Y_{n,j}$ denote the number of observations equal to the $j$-th type. Fo…

Let $\hat{GT}(\mathbf{X}_n)$ denote the Good–Turing estimator of the missing mass $M_n(P,\mathbf{X}_n)$, where $P$ ranges over the regularly varying class $\mathcal{P}_{RV_\alpha}$…