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Determining the mode for convolution powers of discrete uniform distribution. (English) Zbl 1241.60007

Summary: We specify the smallest mode of the ordinary multinomials leading to the expression of the maximal probability of convolution powers of the discrete uniform distribution. The generating function for an extension of the maximal probability is given.

MSC:

60E05 Probability distributions: general theory
60E10 Characteristic functions; other transforms
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