Browse > Article
http://dx.doi.org/10.5351/KJAS.2014.27.5.787

Poisson GLR Control Charts  

Lee, Jaeheon (Department of Applied Statistics, Chung-Ang University)
Park, Jongtae (Department of Digital Information and Statistics, Pyeongtaek University)
Publication Information
The Korean Journal of Applied Statistics / v.27, no.5, 2014 , pp. 787-796 More about this Journal
Abstract
Situations where sample size is not constant are common when monitoring a process with Poisson count data. In this paper, we propose a generalized likelihood ratio(GLR) control chart to detect shifts in the Poisson rate when the sample size varies. The performance of the proposed GLR chart is compared with the performance of several cumulative sum(CUSUM) type charts. It is shown that the overall performance of the GLR chart is comparable with CUSUM type charts and is significantly better in cases where the actual value of the shift is different from the pre-specified value in CUSUM type charts.
Keywords
Attribute data; CUSUM chart; GLR chart; Poisson process;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Choi, M. L. and Lee, J. (2014a). GLR charts for simultaneously monitoring a sustained shift and a linear drift in the process mean, Communications for Statistical Applications and Methods, 21, 69-80.   과학기술학회마을   DOI
2 Choi, M. L. and Lee, J. (2014b). A GLR chart for monitoring a zero-inflated Poisson process, The Korean Journal of Applied Statistics, 27, 345-355.   과학기술학회마을   DOI
3 Dong, Y., Hedayat, A. S. and Sinha, B. K. (2008). Surveillance strategies for detecting changepoint in incidence rate based on exponentially weighted moving average methods, Journal of the American Statistical Association, 103, 843-853.   DOI
4 Hawkins, D. M. and Olwell, D. H. (1998). Cumulative Sum Charts and Charting for Quality Improvement, New York, NY: Springer.
5 Mei, Y., Han, S. W. and Tsui, K. L. (2011). Early detection of a change in Poisson rate after accounting for population size effects, Statistica Sinica, 21, 597-624.   DOI
6 Reynolds, M. R. J. and Lou, J. (2010). An evaluation of a GLR control chart for monitoring the process mean, Journal of Quality Technology, 42, 287-310.   DOI
7 Reynolds, M. R. J., Lou, J., Lee, J. and Wang, S. (2013). The design of GLR control charts for monitoring the process mean and variance, Journal of Quality Technology, 45, 34-60.   DOI
8 Rossi, G., Lampugnani, L. and Marchi, M. (1999). An approximate CUSUM procedure for surveillance of health events, Statistics in Medicine, 18, 2111-2122.   DOI
9 Ryan, A. G. and Woodall, W. H. (2010). Control charts for Poisson count data with varying sample sizes, Journal of Quality Technology, 42, 260-275.   DOI
10 Yashchin, E. (1989). Weighted cumulative sum technique, Technometrics, 31, 321-338.   DOI