A unified Markov chain approach for computing the run length distribution in control charts with simple or compound rules

被引：39
作者：
Fu, JC
Shmueli, G [1 ]
Chang, YM
机构：
[1] Univ Maryland, Robert H Smith Sch Business, Dept Decis & Informat Technol, College Pk, MD 20742 USA
[2] Univ Manitoba, Dept Stat, Winnipeg, MB R3T 2N2, Canada
[3] Natl Univ Kaohsiung, Dept Appl Math, Kaohsiung, Taiwan
来源：
STATISTICS & PROBABILITY LETTERS | 2003年 / 65卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
control charts; Markov chain; transition matrix; discretization;
D O I：
10.1016/j.spl.2003.10.004
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：
We introduce a general theoretical framework, based on the Markov chain imbedding approach, that leads to the run-length distribution for a multitude of control charts that are based on a simple rule or on a compound set of rules. (C) 2003 Elsevier B.V. All rights reserved.
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页码：457 / 466
页数：10
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