Generalization of Simmons' theorem

Olivier Perrin and Edmond Redside

Statistics & Probability Letters, 2007, vol. 77, issue 6, 604-606

Abstract: If Xm has a binomial distribution , n[greater-or-equal, slanted]3, with 0 P(Xm>m); if Xm has a Poisson distribution , we have a similar result but, furthermore, Teicher proved that both sequences P(Xm m) are increasing. The aim of this note is to give a simple proof of these results and to extend them to geometric and negative binomial distributions.

Keywords: Beta; Gamma; and; negative; binomial; distributions; Simmons'; theorem (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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