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Compound Poisson approximation for multiple runs in a Markov chain

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Publication:1868302
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DOI10.1023/A:1022438422611zbMath1018.60079MaRDI QIDQ1868302

Eutichia Vaggelatou, Ourania Chryssaphinou

Publication date: 27 April 2003

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


zbMATH Keywords

Kolmogorov distancecompound Poisson approximationconsecutive \(k_1,\dots,k_r\) out of \(n\):MFM system


Mathematics Subject Classification ID

Diffusion processes (60J60) Applications of renewal theory (reliability, demand theory, etc.) (60K10)


Related Items (6)

Compound Poisson approximation ⋮ Compound Poisson and signed compound Poisson approximations to the Markov binomial law ⋮ ESTIMATOR FOR THE DISTRIBUTION OF THE NUMBERS OF RUNS IN A RANDOM SEQUENCE CONTROLLED BY STATIONARY MARKOV CHAIN ⋮ A lower bound for the reliability function of multiple failure mode systems ⋮ On the probability of existence of substrings with the same structure in a random sequence ⋮ Poisson type approximations for the Markov binomial distribution







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