One-sided EWMA control charts for monitoring Poisson processes with varying sample sizes

被引：9
|
作者：
Zhou, Qin [1 ]
Shu, Lianjie [2 ]
Jiang, Wei [3 ]
机构：
[1] Jiangsu Normal Univ, Sch Math Sci, Xuzhou, Peoples R China
[2] Univ Macau, Fac Business, Macau, Peoples R China
[3] Shanghai Jiao Tong Univ, Antai Coll Econ & Management, Shanghai, Peoples R China
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2016年 / 45卷 / 20期
基金：
美国国家科学基金会;
关键词：
Average run length; Control chart; Exponentially weighted moving average; Statistical process control; 93E14; AVERAGE CONTROL SCHEMES; SURVEILLANCE METHODS; RUN LENGTHS; FRAMEWORK;
D O I：
10.1080/03610926.2014.957853
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：
Recently considerable research has been devoted to monitoring increases of incidence rate of adverse rare events. This paper extends some one-sided upper exponentially weighted moving average (EWMA) control charts from monitoring normal means to monitoring Poisson rate when sample sizes are varying over time. The approximated average run length bounds are derived for these EWMA-type charts and compared with the EWMA chart previously studied. Extensive simulations have been conducted to compare the performance of these EWMA-type charts. An illustrative example is given.
引用
收藏
页码：6112 / 6132
页数：21
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