On limiting theorems for conditional causation probabilities of multiple-run-rules

DOI10.1016/J.SPL.2018.02.069zbMath1391.60172OpenAlexW2791609049MaRDI QIDQ1642267

Wan-Chen Lee, Yung-Ming Chang, Winnie H. W. Fu, Hsing-Ming Chang

Publication date: 20 June 2018

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2018.02.069

zbMATH Keywords

finite Markov chain imbeddinglimiting distributionconditional causation probabilityconditional cause of failure probabilitymultiple-run-rules

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05)

Related Items (2)

Distribution-free precedence schemes with a generalized runs-rule for monitoring unknown location ⋮ On distribution and average run length of a two-stage control process

Cites Work

• A compound control chart for monitoring and controlling high quality processes
• Approximating the distributions of runs and patterns
• Statistical process control using Shewhart control charts with supplementary runs rules
• Approximate probabilities for runs and patterns in i.i.d. and Markov-dependent multistate trials

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