Integer partitions probability distributions

Research output: Contribution to journalArticlepeer-review

Abstract

Two closely related discrete probability distributions are introduced. In each case the support is a set of vectors in (Formula presented.) 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.

Original languageEnglish
Pages (from-to)3556-3563
Number of pages8
JournalCommunications in Statistics - Theory and Methods
Volume50
Issue number15
DOIs
StatePublished - 2021

Keywords

  • discrete probability distribution
  • Integer partitions
  • random partitions
  • symmetric group

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