ESTIMATION OF C pmk PROCESS CAPABILITY INDEX BASED ON BOOTSTRAP METHOD FOR WEIBULL DISTRIBUTION: A CASE STUDY

The capability indices are widely used by quality professionals as an estimate of process capability. Many process indices have been proposed in last few years. A process capability index Cpmk is a generalized version of the existing indices confidence interval estimate for Cpk is defined. A series...

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Main Authors: Bahram Sadeghpour Gildeh, Azamsadat Iziy, Bahareh Ghasempour
Format: Article
Language:English
Published: Center for Quality, Faculty of Engineering, University of Kragujevac, Serbia 2014-06-01
Series:International Journal for Quality Research
Subjects:
Online Access:http://www.ijqr.net/journal/v8-n2/9.pdf
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author Bahram Sadeghpour Gildeh
Azamsadat Iziy
Bahareh Ghasempour
author_facet Bahram Sadeghpour Gildeh
Azamsadat Iziy
Bahareh Ghasempour
author_sort Bahram Sadeghpour Gildeh
collection DOAJ
description The capability indices are widely used by quality professionals as an estimate of process capability. Many process indices have been proposed in last few years. A process capability index Cpmk is a generalized version of the existing indices confidence interval estimate for Cpk is defined. A series of Cp, Cpk, Cpm. In this paper the Percentile-t bootstrap (PTB) simulations using Weibull distribution with different parameters and sample size for the index Cpmk was undertaken to compare the performance and reliability of bootstrap method and the effect of parameters of Weibull distribution (shape and scale).
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spelling doaj.art-f142a9e4f1ff44579af8585b8e92de9c2022-12-21T22:11:33ZengCenter for Quality, Faculty of Engineering, University of Kragujevac, SerbiaInternational Journal for Quality Research1800-64501800-74732014-06-0182255264ESTIMATION OF C pmk PROCESS CAPABILITY INDEX BASED ON BOOTSTRAP METHOD FOR WEIBULL DISTRIBUTION: A CASE STUDYBahram Sadeghpour Gildeh0Azamsadat Iziy1Bahareh Ghasempour2Department of Statistics Ferdowsi University of Mashhad Faculty of Mathematical Sciences Mashhad, IranDepartment of Statistics Ferdowsi University of Mashhad Faculty of Mathematical Sciences Mashhad, IranDepartment of Statistics Aazad University of Mashhad Faculty of Mathematical Sciences Mashhad, IranThe capability indices are widely used by quality professionals as an estimate of process capability. Many process indices have been proposed in last few years. A process capability index Cpmk is a generalized version of the existing indices confidence interval estimate for Cpk is defined. A series of Cp, Cpk, Cpm. In this paper the Percentile-t bootstrap (PTB) simulations using Weibull distribution with different parameters and sample size for the index Cpmk was undertaken to compare the performance and reliability of bootstrap method and the effect of parameters of Weibull distribution (shape and scale).http://www.ijqr.net/journal/v8-n2/9.pdfProcess capability indexBootstrap samplingCpmk process indexPercentile-t bootstrap methodWeibull distribution
spellingShingle Bahram Sadeghpour Gildeh
Azamsadat Iziy
Bahareh Ghasempour
ESTIMATION OF C pmk PROCESS CAPABILITY INDEX BASED ON BOOTSTRAP METHOD FOR WEIBULL DISTRIBUTION: A CASE STUDY
International Journal for Quality Research
Process capability index
Bootstrap sampling
Cpmk process index
Percentile-t bootstrap method
Weibull distribution
title ESTIMATION OF C pmk PROCESS CAPABILITY INDEX BASED ON BOOTSTRAP METHOD FOR WEIBULL DISTRIBUTION: A CASE STUDY
title_full ESTIMATION OF C pmk PROCESS CAPABILITY INDEX BASED ON BOOTSTRAP METHOD FOR WEIBULL DISTRIBUTION: A CASE STUDY
title_fullStr ESTIMATION OF C pmk PROCESS CAPABILITY INDEX BASED ON BOOTSTRAP METHOD FOR WEIBULL DISTRIBUTION: A CASE STUDY
title_full_unstemmed ESTIMATION OF C pmk PROCESS CAPABILITY INDEX BASED ON BOOTSTRAP METHOD FOR WEIBULL DISTRIBUTION: A CASE STUDY
title_short ESTIMATION OF C pmk PROCESS CAPABILITY INDEX BASED ON BOOTSTRAP METHOD FOR WEIBULL DISTRIBUTION: A CASE STUDY
title_sort estimation of c pmk process capability index based on bootstrap method for weibull distribution a case study
topic Process capability index
Bootstrap sampling
Cpmk process index
Percentile-t bootstrap method
Weibull distribution
url http://www.ijqr.net/journal/v8-n2/9.pdf
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