Name
Title | ||
|---|---|---|
A Two-Sided Cumulative Sum Chart for First-Order Integer-Valued Autoregressive Processes of Poisson Counts. |
Abstract | ||
|---|---|---|
Count data processes are often encountered in manufacturing and service industries. To describe the autocorrelation structure of such processes, a Poisson integer-valued autoregressive model of order 1, namely, Poisson INAR(1) model, might be used. In this study, we propose a two-sided cumulative sum control chart for monitoring Poisson INAR(1) processes with the aim of detecting changes in the process mean in both positive and negative directions. A trivariate Markov chain approach is developed for exact evaluation of the ARL performance of the chart in addition to a computationally efficient approximation based on bivariate Markov chains. The design of the chart for an ARL-unbiased performance and the analyses of the out-of-control performances are discussed. Copyright (C) 2012 John Wiley & Sons, Ltd. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1002/qre.1289 | QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL |
Keywords | Field | DocType |
autocorrelated counts,CUSUM control chart,Markov chains approach,Poisson INAR(1) model,statistical process control | Econometrics,Autoregressive model,Computer science,Markov chain,Control chart,Count data,Chart,Poisson distribution,Statistics,Bivariate analysis,Autocorrelation | Journal |
Volume | Issue | ISSN |
29 | 1 | 0748-8017 |
Citations | PageRank | References |
5 | 0.53 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Petek Yontay | 1 | 16 | 1.44 |
| Christian H. Weiß | 2 | 56 | 13.62 |
| Murat Caner Testik | 3 | 39 | 8.43 |
| Z. Pelin Bayindir | 4 | 33 | 4.19 |