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http://dx.doi.org/10.5351/KJAS.2014.27.2.345

A GLR Chart for Monitoring a Zero-Inflated Poisson Process  

Choi, Mi Lim (Department of Applied Statistics, Chung-Ang University)
Lee, Jaeheon (Department of Applied Statistics, Chung-Ang University)
Publication Information
The Korean Journal of Applied Statistics / v.27, no.2, 2014 , pp. 345-355 More about this Journal
Abstract
The number of nonconformities in a unit is commonly modeled by a Poisson distribution. As an extension of a Poisson distribution, a zero-inflated Poisson(ZIP) process can be used to fit count data with an excessive number of zeroes. In this paper, we propose a generalized likelihood ratio(GLR) chart to monitor shifts in the two parameters of the ZIP process. We also compare the proposed GLR chart with the combined cumulative sum(CUSUM) chart and the single CUSUM chart. It is shown that the overall performance of the GLR chart is comparable with CUSUM charts and is significantly better in some cases where the actual directions of the shifts are different from the pre-specified directions in CUSUM charts.
Keywords
Attribute data; CUSUM chart; GLR chart; Poisson distribution; ZIP process;
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Times Cited By KSCI : 1  (Citation Analysis)
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