On Samuels' Conjecture

Zhi Ling

Let $0\le {\mu }_1\le \cdots \le {\mu }_n$ and let $\lambda >{\sum }_{i=1}^n{\mu }_i$. Let $X_1,...,X_n$ be independent nonnegative random variables satisfying $\mathbb{E}{X}_i={\mu }_i$, and write $D_i := λ-\sum_…