Evaluation of bootstrap confidence intervals using a new non-normal process capability index
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Multidisciplinary Digital Publishing Institute
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 efficiency 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.
Description
Full text article. Also available at https://doi.org/10.3390/sym11040484
Keywords
Weibull distribution, Process Capability Index, PCI, Percentile Bootstrap, PB, Bootstrap Confidence Intervals, Coverage probabilities, Non-normal process capability index, Bias-Corrected Percentile Bootstrap, BCPB
Citation
Rao, G. S., Albassam, M., & Aslam, M. (2019). Evaluation of bootstrap confidence intervals using a new non-normal process capability index. Symmetry, 11(4), 484.