One-sided Control Charts Based on Precedence and Weighted Precedence Statistics

被引：25

作者：

Balakrishnan, N. ^{[1
]}

Paroissin, C. ^{[2
]}

Turlot, J. -C. ^{[2
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

[2] Univ Pau & Pays Adour, Lab Math & Ieurs Applicat, CNRS, UMR 5142, F-64013 Pau, France

来源：

QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL | 2015年 / 31卷 / 01期

关键词：

Lehmann alternatives; randomized procedure; precedence statistic; weighted precedence statistic; alarm rate; average run length; NONPARAMETRIC CONTROL CHARTS; RUNS;

D O I：

10.1002/qre.1750

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we study one-sided control charts based on precedence statistics. Because we focus on the problem of detecting smaller' lifetime than expected, we consider only one-sided control charts that have not received much attention in the literature. Alarm rate and average run length are derived when the process is in control and also when the process is out of control for two Lehmann alternatives. On the basis of the alarm rate and average run length, we propose suitable randomized procedures to determine the best precedence control chart. Control charts based on weighted precedence statistics are then studied. The charts developed here are illustrated with coal mining disasters data. Finally, a comparison of the performance of these two charts is made with that of a Wilcoxon-Mann-Whitney control chart and a cumulative sum chart based on the precedence statistic, and some conclusions are drawn. Copyright (c) 2014 John Wiley & Sons, Ltd.

引用

页码：113 / 134

页数：22

共 26 条

[1] NONPARAMETRIC QUALITY-CONTROL CHARTS BASED ON THE SIGN STATISTIC [J].

AMIN, RW ;

REYNOLDS, MR ;

BAKIR, S .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1995, 24 (06) :1597-1623

[2]

[Anonymous], 2008, CLASSICS APPL MATH

[3]

[Anonymous], 2005, Testing statistical hypotheses, DOI [10.1007/978-3-030-70578-7, DOI 10.1007/978-3-030-70578-7]

[4] A Distribution-Free Control Chart Based on Order Statistics [J].

Balakrishnan, N. ;

Triantafyllou, I. S. ;

Koutras, M. V. .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2010, 39 (20) :3652-3677

[5] Nonparametric control charts based on runs and Wilcoxon-type rank-sum statistics [J].

Balakrishnan, N. ;

Triantafyllou, I. S. ;

Koutras, M. V. .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2009, 139 (09) :3177-3192

[6]

Balakrishnan N., 2006, Precedence type tests and applications

[7] A class of distribution-free control charts [J].

Chakraborti, S ;

van der Laan, P ;

van de Wiel, MA .

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 2004, 53 :443-462

[8]

Chakraborti S., 2007, Quality Engineering, V19, P119, DOI 10.1080/08982110701276653

[9] A phase II nonparametric control chart based on precedence statistics with runs-type signaling rules [J].

Chakraborti, S. ;

Eryilmaz, S. ;

Human, S. W. .

COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2009, 53 (04) :1054-1065

[10]

Chakraborti S, 2001, J QUAL TECHNOL, V33, P304

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