The performance of semi-empirical Bayesian control charts for monitoring Weibull data. Issue 1 (2nd January 2018)

• Record Type: Journal Article
• Authors: Erto, Pasquale; Pallotta, Giuliana; Palumbo, Biagio; Mastrangelo, Christina M.
• Is Part Of: Quality technology & quantitative management. Volume 15:Issue 1(2018)
• Page Start: 69
• Page End: 86
• Publication Date: 2018-01-02
• Subjects: Bayesian control charts -- Weibull distribution -- Weibull contour plots -- average run length; 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: 10.1080/16843703.2017.1304036
• Languages: English
• ISSNs: 1684-3703

Abstract

Abstract: In this paper we investigate the performance of semi-empirical Bayesian control charts to monitor the percentiles and the shape parameter of a Weibull distribution. These charts have been recently introduced in literature, where it is shown how Weibull-distributed data need specifically designed control schemes and how a Bayesian approach can help in such cases. The main focus of this paper, instead, is a simulation study of the charts' performance. To this aim, a large Monte Carlo analysis is presented, highlighting the main effects on the chart performance of single/combined changes in the Weibull parameters. Some Weibull contour plots are presented to visualize the investigated technological scenarios. An illustrative example using a reference data-set is included too.