A GLR Chart for Monitoring a Zero-Inflated Poisson Process

被引：1

作者：

Choi, Mi Lim ^{[1
]}

Lee, Jaeheon ^{[1
]}

机构：

[1] Chung Ang Univ, Dept Appl Stat, 221 Heukseok Dong, Seoul 156756, South Korea

来源：

KOREAN JOURNAL OF APPLIED STATISTICS | 2014年 / 27卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Attribute data; CUSUM chart; GLR chart; Poisson distribution; ZIP process;

D O I：

10.5351/KJAS.2014.27.2.345

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：345 / 355

页数：11

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