On the modes of the Poisson distribution of order k

Details On the modes of the Poisson distribution of order k On the modes of the Poisson distribution of order k

2012-04-14

arxiv.org/abs/1204.3186v1

Mathematics

Statistics Theory

This article is related to several papers published in the Fibonacci Quarterly and solves partially an open problem since 1983

Scientific paper

Sharp upper and lower bounds are established for the modes of the Poisson
distribution of order k. The present lower bound is better than a known one. In
addition, for k= 2, 3, 4, 5, a recent conjecture is presently proved solving
partially an open problem since 1983.

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