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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Vydáno v:Communications in statistics. Theory and methods Ročník 51; číslo 6; s. 1693 - 1705
Hlavní autor: Kong, Yong
Médium: Journal Article
Jazyk:angličtina
Vydáno: Philadelphia Taylor & Francis 19.03.2022
Taylor & Francis Ltd
Témata:
2-sequence
exact enumeration problems
Generating function
Permutations
permutations of multiset
successions
ISSN:0361-0926, 1532-415X
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Abstract 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.
AbstractList 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.
Author Kong, Yong
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  organization: School of Public Health, Yale University
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SubjectTerms 2-sequence
exact enumeration problems
Generating function
Permutations
permutations of multiset
successions
Title Distributions of successions of arbitrary multisets
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