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The occurrence of sequence patterns in ergodic Markov chains

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Publication:791233
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DOI10.1016/0304-4149(84)90012-7zbMath0535.60057OpenAlexW2084045017MaRDI QIDQ791233

Rodolfo V. Benevento

Publication date: 1984

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(84)90012-7


zbMATH Keywords

occupation measurehitting timessequence patterns


Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)


Related Items

A limit theorem on the number of overlapping appearances of a pattern in a sequence of independent trials ⋮ On pattern occurrences in a random text ⋮ Sooner and later waiting time problems for Markovian Bernoulli trials ⋮ Patterns generated by \(m\)th-order Markov chains ⋮ Gambling Teams and Waiting Times for Patterns in Two-State Markov Chains



Cites Work

  • A martingale approach to the study of occurrence of sequence patterns in repeated experiments
  • The occurrence of sequence patterns in repeated experiments and hitting times in a Markov chain
  • A Note on Runs
  • On the mean number of random digits until a given sequence occurs
  • How many random digits are required until given sequences are obtained?
  • Occupation measures for Markov chains
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