Let $Y_1, \cdots, Y_r$ be independent random variables, each uniformly distributed on $\mathscr{M} = \{1,2, \cdots, M\}$. It is shown that at most $N = 1 + M + \cdots ...
Several theorems are stated which are useful in establishing whether a given sequence of averages of independent but not identically distributed random variables does or does not satisfy the weak ...