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 ...
Proceedings of the American Mathematical Society, Vol. 126, No. 4 (Apr., 1998), pp. 1181-1189 (9 pages) The aim of this paper is to investigate the properties of the maximum of partial sums for a ...
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