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A Bayesian control chart for monitoring the ratio of Weibull percentiles
Author(s) -
Erto Pasquale,
Lepore Antonio,
Palumbo Biagio,
Vanacore Amalia
Publication year - 2019
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2527
Subject(s) - control chart , weibull distribution , percentile , chart , statistics , bayesian probability , computer science , control limits , data mining , reliability engineering , mathematics , engineering , process (computing) , operating system
This paper introduces a new Bayesian control chart to compare two processes by monitoring the ratio of percentiles of two quality characteristics that are assumed to be independent Weibull distributed random variables with the same and stable shape parameter larger than one. The chart analyses the sampling data directly, instead of transforming them in order to comply with the usual normality assumption, as many charts do. A real application in the wood industry and a wide simulation illustrate the features of the chart and its performance, depending on the number of training data, the quality of prior information, and the magnitude of the shift.