Joint distributions of numbers of runs of specified lengths in a sequence of Markov dependent multistate trials

DOI10.1007/s10463-006-0056-6zbMath1124.62004OpenAlexW2169248035MaRDI QIDQ2457974

Kiyoshi Inoue, Sigeo Aki

Publication date: 24 October 2007

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-006-0056-6

zbMATH Keywords

momentsprobability functionprobability generating functionMarkov chainconditional distributionrecursive schemerunsenumeration schemesdouble generating functionmultistate trials

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Characteristic functions; other transforms (60E10) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (6)

Consecutive dual failure mode shock systems ⋮ Bivariate Fibonacci polynomials of order \(k\) with statistical applications ⋮ On the joint distribution of success runs of several lengths in the sequence of MBT and its applications ⋮ Distributions of simple patterns in some kinds of exchangeable sequences ⋮ Decoupling combinatorial complexity: a two-step approach to distributions of runs ⋮ Distributions of Runs Revisited

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