Generalized confidence intervals of quantile-based process capability indices for inverse Gaussian distribution. Issue 3 (4th May 2023)

• Record Type: Journal Article
• Authors: Guo, Baocai; Xia, Qiming; Sun, Yingying; Aslam, Muhammad
• Is Part Of: Quality technology & quantitative management. Volume 20:Issue 3(2023)
• Page Start: 405
• Page End: 417
• Publication Date: 2023-05-04
• Subjects: Process capability indices -- generalized confidence interval -- inverse Gaussian distribution; Quality control -- Periodicals; Quality control -- Statistical methods -- Periodicals; Industrial management -- Periodicals; Industrial management; Management -- Research -- Methodology -- Periodicals; Qualitative research -- Periodicals; Management; Quality control; Quality control -- Statistical methods; Periodicals; 658.00721
• DOI: 10.1080/16843703.2022.2126260
• Languages: English
• ISSNs: 1684-3703

Abstract

ABSTRACT: Process capability index (PCI) is widely used to evaluate the process capability in various industries. In this article, generalized confidence intervals (GCIs) of two widely used percentile-based PCIs for the inverse Gaussian (IG) distribution are constructed. Meanwhile, the GCI of the difference between two IG processes' PCIs is also considered. In addition, the performance of the proposed GCI is evaluated and compared with that of the confidence intervals based on the traditional bootstrap method. The simulation results indicate that the GCI outperforms the bootstrap counterparts in terms of the coverage probabilities, and the actual coverage probabilities of the GCI are sufficiently close to the target value. Finally, two real examples are presented to illustrate the implementation of the proposed method.