Application of auxiliary Markov chains to start-up demonstration tests

DOI10.1016/J.EJOR.2006.12.009zbMath1149.90327OpenAlexW2008957435MaRDI QIDQ2384625

Donald E. K. Martin

Publication date: 10 October 2007

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2006.12.009

zbMATH Keywords

supplementary variablesrunsHigher-order Markovian sequencestart-up reliability

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Markov and semi-Markov decision processes (90C40)

Related Items (7)

Start-up demonstration tests with sparse connection ⋮ Faster exact distributions of pattern statistics through sequential elimination of states ⋮ On the identifiability of start-up demonstration mixture models ⋮ A start-up demonstration procedure involving dependent tests ⋮ Some binary start-up demonstration tests and associated inferential methods ⋮ On generalized start-up demonstration tests ⋮ Moments of the count of a regular expression in a heterogeneous random sequence

Cites Work

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• Markovian start-up demonstration tests with rejection of units upon observing \(d\) failures.
• Start-up demonstration tests with rejection of units upon observing \(d\) failures
• On the distribution of the number of successes in fourth- or lower-order Markovian trials
• The analysis and comparison of start-up demonstration tests
• Distribution Theory of Runs: A Markov Chain Approach
• Waiting time distributions of competing patterns in higher-order Markovian sequences

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