A Note on the Aging Properties of the Run Length of Markov-Type Control Charts

DOI10.1080/07474946.2012.652013zbMath1250.62059OpenAlexW2011540607WikidataQ59323814 ScholiaQ59323814MaRDI QIDQ5389557

Manuel Cabral Morais, António Pacheco

Publication date: 21 April 2012

Published in: Sequential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07474946.2012.652013

zbMATH Keywords

statistical process controlstochastic orderingsphase-type distributionsrun length

Mathematics Subject Classification ID

Applications of statistics in engineering and industry; control charts (62P30) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Stochastic matrices (15B51) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (1)

On stochastic ordering and control charts for traffic intensity

Cites Work

• On the first passage time distribution for a class of Markov chains
• Alarm rates for quality control charts
• TP₂-Orderings and the IFR Property with Applications
• Assessing the Impact of Head Starts in the Performance of One-Sided Markov-Type Control Schemes
• Total Positivity of Markov Chains and the Failure Rate Character of Some First Passage Times
• NBUE and NWUE properties of increasing Markov processes
• An approach to the probability distribution of cusum run length
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