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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Vydané v:	Communications in statistics. Theory and methods Ročník 51; číslo 6; s. 1693 - 1705
Hlavný autor:	Kong, Yong
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Philadelphia Taylor & Francis 19.03.2022 Taylor & Francis Ltd
Predmet:	2-sequence exact enumeration problems Generating function Permutations permutations of multiset successions
ISSN:	0361-0926, 1532-415X
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Shrnutí:	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.
Bibliografia:	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