The performance of semi-empirical Bayesian control charts for monitoring Weibull data
Quality Technology & Quantitative Management, 2018•Taylor & Francis
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 …
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 …
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.
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