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arXiv · 1312.7139

A Note on the Modes of the Poisson Distribution of Order k

Andreas N. Philippou
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Abstract

It is shown that for any positive integer k and positive parameter lambda less than 2/k(k+1), the Poisson distribution of order k with parameter lambda has a unique mode, 0. In addition, the Poisson distribution of order 2 has a unique mode, 0, if lambda is less than -1 plus the square root of 3. It has two modes, 0 and 2, if lambda is equal to -1 plus the square root of 3, and it has a unique mode, 2, if lambda is greater than -1 plus the square root of 3 and less than 1.

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Andreas N. Philippou. 2013-12-26. A Note on the Modes of the Poisson Distribution of Order k. https://arxiv.org/abs/1312.7139

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