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Waiting time problems for a two-dimensional pattern

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Publication:1881011
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DOI10.1007/BF02530530zbMath1057.60013MaRDI QIDQ1881011

Katuomi Hirano, Sigeo Aki

Publication date: 27 September 2004

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


zbMATH Keywords

reliabilityprobability generating functionconditional distributiondiscrete distributionconsecutive system


Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05)


Related Items

Waiting time distributions for a run with additional constraints ⋮ Consecutive covering arrays and a new randomness test ⋮ Waiting time distributions of simple and compound patterns in a sequence of \(r\)th order Markov dependent multi-state trials ⋮ Binary consecutive covering arrays



Cites Work

  • On generating functions of waiting time problems for sequence patterns of discrete random variables
  • How many random digits are required until given sequences are obtained?
  • Distribution Theory of Runs: A Markov Chain Approach
  • Two-dimensional consecutive-k-out-of-n:F models
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