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 language | English |
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Pages (from-to) | 3556-3563 |
Number of pages | 8 |
Journal | Communications in Statistics - Theory and Methods |
Volume | 50 |
Issue number | 15 |
DOIs | |
State | Published - 2021 |
Keywords
- discrete probability distribution
- Integer partitions
- random partitions
- symmetric group