Integer Partitions Probability Distributions
Combinatorics
2021-07-09 v2 Number Theory
Statistics Theory
Statistics Theory
Abstract
Two closely related discrete probability distributions are introduced. In each case the support is a set of vectors in obtained from the partitions of the fixed positive integer . These distributions arise naturally when considering equally-likely random permutations on the set of 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.
Cite
@article{arxiv.1912.05306,
title = {Integer Partitions Probability Distributions},
author = {Andrew V. Sills},
journal= {arXiv preprint arXiv:1912.05306},
year = {2021}
}
Comments
9 pages; this is the revised version that has been accepted for publication in Communications in Statistics: Theory and Methods