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Joint Distribution of Pattern Frequencies and Multivariate Polya-Aeppli Law
Published
Author(s)
Andrew L. Rukhin
Abstract
This paper studies the joint distribution of frequencies of several overlapping words in a Markov sequence. Usually, characteristics of this distribution are expressed in terms of so-called pattern correlation matrix. A more direct approach allows for explicit formulas which involve the fundamental matrix of the Markov chain whose states are patterns of a given length. this form leads to the probability generating function of the asymptotic joint distribution of pattern frequencies.
Rukhin, A.
(2010),
Joint Distribution of Pattern Frequencies and Multivariate Polya-Aeppli Law, Theory of Probability and Its Applications, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=50909
(Accessed October 10, 2025)