Computational procedure of performance assessment of lifetime index of products for the Weibull distribution with the progressive first-failure-censored sampling plan
type: Item
instance of: scholarly article
title: Computational procedure of performance assessment of lifetime index of products for the Weibull distribution with the progressive first-failure-censored sampling plan
zbMATH Open document ID: 1251.90100
DOI: 10.1155/2012/717184
author: Xianqiang Yang
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance index \(C_L\) is a popular means to assess the performance and potential of their processes, where \(L\) is the lower specification limit. This study will apply the large-sample theory to construct a maximum likelihood estimator (MLE) of \(C_L\) with the progressive first-failure-censored sampling plan under the Weibull distribution. The MLE of \(C_L\) is then utilized to develop a new hypothesis testing procedure in the condition of known \(L\).
Mathematics Subject Classification ID: 90B25
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 62D05
zbMATH DE Number: 6106295
zbMATH Keywords: process capability analysis
zbMATH Keywords: lower specification limit
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/717184
OpenAlex ID: W2160271727
Wikidata QID: Q58907230
cites work: Q4664883
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DBLP publication ID: journals/jam/HongLW12
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description: scientific article; zbMATH DE number 6106295