Integer partitions probability distributions

Andrew V. Sills

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 15, 3556-3563

Abstract: Two closely related discrete probability distributions are introduced. In each case the support is a set of vectors in Rn obtained from the partitions of the fixed positive integer n. These distributions arise naturally when considering equally-likely random permutations on the set of n letters. For one of the distributions, the expectation vector and covariance matrix is derived. For the other distribution, conjectures for several elements of the expectation vector are provided.

Date: 2021
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DOI: 10.1080/03610926.2019.1708396

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