Abstract
A model-based scheme is proposed for monitoring multiple gamma-distributed variables. The procedure is based on the deviance residual, which is a likelihood ratio statistic for detecting a mean shift when the shape parameter is assumed to be unchanged and the input and output variables are related in a certain manner. We discuss the distribution of this statistic and the proposed monitoring scheme. An example involving the advance rate of a drill is used to illustrate the implementation of the deviance residual monitoring scheme. Finally, a simulation study is performed to compare the average run length (ARL) performance of the proposed method to the standard Shewhart control chart for individuals.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 477-491 |
| Number of pages | 15 |
| Journal | Quality and Reliability Engineering International |
| Volume | 19 |
| Issue number | 6 |
| DOIs | |
| State | Published - Nov 2003 |
Keywords
- Correlated gamma-distributed data
- Generalized linear model
- Model-based control chart
ASJC Scopus subject areas
- Safety, Risk, Reliability and Quality
- Management Science and Operations Research