Abstract: This paper assesses the bootstrap confidence intervals of a newly proposed process capability
index (PCI) forWeibull distribution, using the logarithm of the analyzed data. These methods can
be applied when the quality of interest has non-symmetrical distribution. Bootstrap confidence
intervals, which consist of standard bootstrap (SB), percentile bootstrap (PB), and bias-corrected
percentile bootstrap (BCPB) confidence interval are constructed for the proposed method. A Monte
Carlo simulation study is used to determine the eciency of newly proposed index Cpkw over the
existing method by addressing the coverage probabilities and average widths. The outcome shows
that the BCPB confidence interval is recommended. The methodology of the proposed index has
been explained by using the real data of breaking stress of carbon fibers.
Keywords: non-normal process capability index; bootstrap confidence intervals; average width;
coverage probabilities;Weibull distribution
Rao, G (2021). Evaluation Of Bootstrap Confidence Intervals Using A New Non-Normal Process Capability Index. Afribary. Retrieved from https://afribary.com/works/evaluation-of-bootstrap-confidence-intervals-using-a-new-non-normal-process-capability-index
Rao, Gadde "Evaluation Of Bootstrap Confidence Intervals Using A New Non-Normal Process Capability Index" Afribary. Afribary, 26 Apr. 2021, https://afribary.com/works/evaluation-of-bootstrap-confidence-intervals-using-a-new-non-normal-process-capability-index. Accessed 22 Nov. 2024.
Rao, Gadde . "Evaluation Of Bootstrap Confidence Intervals Using A New Non-Normal Process Capability Index". Afribary, Afribary, 26 Apr. 2021. Web. 22 Nov. 2024. < https://afribary.com/works/evaluation-of-bootstrap-confidence-intervals-using-a-new-non-normal-process-capability-index >.
Rao, Gadde . "Evaluation Of Bootstrap Confidence Intervals Using A New Non-Normal Process Capability Index" Afribary (2021). Accessed November 22, 2024. https://afribary.com/works/evaluation-of-bootstrap-confidence-intervals-using-a-new-non-normal-process-capability-index