A Bayesian procedure for assessing process performance based on the third-generation capability index

DOI10.1080/02664760802582298OpenAlexW2011700113MaRDI QIDQ5123416

Tsai-Yu Lin, Chien-wei Wu

Publication date: 28 September 2020

Published in: Journal of Applied Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02664760802582298

zbMATH Keywords

posterior probabilityBayesian approachsampling distributionlower confidence boundprocess capability

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (6)

Applying Bayesian approach to assess process capability for asymmetric tolerances based on index ⋮ On the generalized process capability under simple and mixture models ⋮ Inference of process capability index \(C_{\text{py}}\) for 3-Burr-XII distribution based on progressive type-II censoring ⋮ Confidence intervals of the index \(C_{pk}\) for normally distributed quality characteristics using classical and Bayesian methods of estimation ⋮ Estimating process capability indexC_pk: classical approach versus Bayesian approach ⋮ Classical and Bayesian estimation of the indexC_pmkand its confidence intervals for normally distributed quality characteristic

Cites Work

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• Statistical decision theory and Bayesian analysis. 2nd ed
• A note on Bayesian estimation of process capability indices
• The cumulative distribution function of process capability index \(C_{pm}\)
• Process capability assessment for index \(C_{pk}\) based on Bayesian approach
• The probability density function of process capability index C_pmk
• Distribution and moments in simplified form for a general class of capability indices
• Lower confidence bounds with sample size information for C_pm applied to production yield assurance
• The asymptotic distribution of the process capability indexC_pmk

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