Distributions of successions of arbitrary multisets

Authors :: Kong, Yong
Source :: Communications in Statistics - Theory and Methods, 51(6), 1693-1705 (2022)
Publication Year :: 2024
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.

Subjects :: Mathematics - Combinatorics
05A15 (Primary) 60C05, 68R05, 68R15 (Secondary)

Database :: arXiv
Journal :: Communications in Statistics - Theory and Methods, 51(6), 1693-1705 (2022)
Publication Type :: Report
Accession number :: edsarx.2405.01749
Document Type :: Working Paper
Full Text :: https://doi.org/10.1080/03610926.2020.1767137