On waiting time distributions associated with compound patterns in a sequence of multi-state trials

DOI10.1007/S10463-007-0140-6zbMath1332.60032OpenAlexW2167465516MaRDI QIDQ730765

Sigeo Aki, Kiyoshi Inoue

Publication date: 30 September 2009

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

Full work available at URL: https://doi.org/10.1007/s10463-007-0140-6

zbMATH Keywords

scanprobability functionprobability generating functionconditional distributionenumeration schemesdouble generating functionrunmulti-state trialscompound pattern

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (11)

A UNIFIED APPROACH TO GENERATING FUNCTIONS BASED ON BELL POLYNOMIALS ⋮ Recursive equations in finite Markov chain imbedding ⋮ On waiting time distributions for patterns in a sequence of multistate trials ⋮ Compound patterns and generating functions: from basic waiting times to counts of occurrence ⋮ Bivariate Fibonacci polynomials of order \(k\) with statistical applications ⋮ On sooner and later waiting time distributions associated with simple patterns in a sequence of bivariate trials ⋮ On homogeneous multivariate distributions in random occupancy models and their applications ⋮ On discrete distributions generated from drawing balls with bivariate labels ⋮ Start-up demonstration tests with three-level classification ⋮ Distributions of simple patterns in some kinds of exchangeable sequences ⋮ Asymptotic results for jump probabilities associated to the multiple scan statistic

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