Bootstrap confidence intervals of the modified process capability Index for weibull distribution

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dc.contributor.authorKashif, Muhammad
dc.contributor.authorAslam, Muhammad
dc.contributor.authorRao, Srinivasa G.
dc.contributor.authorAL-Marshadi, Ali Hussein
dc.contributor.authorJun, Chi-Hyuck
dc.date.accessioned2020-11-25T08:24:28Z
dc.date.available2020-11-25T08:24:28Z
dc.date.issued2017
dc.descriptionAbstract. Full text article available at https://doi.org/10.1007/s13369-017-2562-7en_US
dc.description.abstractThe objective of the paper is to modify the existing process capability index (PCI) for a Weibull distribution and to construct bootstrap confidence intervals (BCIs) for the newly proposed index. Three BCIs that consist of standard, percentile and bias-corrected percentile bootstrap (BCPB) confidence intervals are constructed for the newly proposed index and the existing Pearn and Chen index. The efficiency of the newly proposed index CGPK is compared with Pearn and Chen index using their coverage probabilities and average widths. The coverage probabilities and average width of three BCIs were calculated using Monte Carlo simulation studies. The newly proposed index shows better performance than Pearn and Chen index. The results indicate that BCPB confidence interval was more efficient in both cases and outperform other two confidence intervals in all situations. The comparison of average width of BCPB apparently shows that the proposed index performed better in all cases. A real-life example is also provided for a practical application.en_US
dc.identifier.citationKashif, M., Aslam, M., Rao, G. S., AL-Marshadi, A. H., & Jun, C. H. (2017). Bootstrap confidence intervals of the modified process capability index for weibull distribution. Arabian Journal for Science and Engineering, 42(11), 4565-4573.en_US
dc.identifier.otherDOI:10.1007/s13369-017-2562-7
dc.identifier.urihttp://hdl.handle.net/20.500.12661/2619
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.subjectBootstrapen_US
dc.subjectProcess capability indexen_US
dc.subjectConfidence intervalsen_US
dc.subjectWeibull distributionen_US
dc.subjectPCIen_US
dc.subjectBCIsen_US
dc.subjectDistributionen_US
dc.subjectconstruct bootstrap confidence intervalsen_US
dc.titleBootstrap confidence intervals of the modified process capability Index for weibull distributionen_US
dc.typeArticleen_US
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