Distributions of successions of arbitrary multisets

By using the matrix formulation of the two-step approach to distributions of patterns in random sequences, recurrence and explicit formulas for the generating functions of successions in random permutations of arbitrary multisets are derived. Explicit formulas for the mean and variance are also obta...

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Bibliographic Details
Published in:	Communications in statistics. Theory and methods Vol. 51; no. 6; pp. 1693 - 1705
Main Author:	Kong, Yong
Format:	Journal Article
Language:	English
Published:	Philadelphia Taylor & Francis 19.03.2022 Taylor & Francis Ltd
Subjects:	2-sequence exact enumeration problems Generating function Permutations permutations of multiset successions
ISSN:	0361-0926, 1532-415X
Online Access:	Get full text
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Summary:	By using the matrix formulation of the two-step approach to distributions of patterns in random sequences, recurrence and explicit formulas for the generating functions of successions in random permutations of arbitrary multisets are derived. Explicit formulas for the mean and variance are also obtained.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	0361-0926 1532-415X
DOI:	10.1080/03610926.2020.1767137