A single chart with supplementary runs rules for monitoring the mean vector and the covariance matrix of multivariate processes

被引：21

作者：

Costa, Antonio F. B. ^{[1
]}

Machado, Marcela A. G. ^{[1
]}

机构：

[1] UNESP, FEG, Dept Prod, BR-12516410 Guaratingueta, SP, Brazil

来源：

COMPUTERS & INDUSTRIAL ENGINEERING | 2013年 / 66卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Control charts; Mean vector; Covariance matrix; Multivariate processes; Supplementary runs rules; SYNTHETIC CONTROL CHART; ECONOMIC-STATISTICAL DESIGN; SHEWHART CONTROL CHARTS; PERFORMANCE; (X)OVER-BAR;

D O I：

10.1016/j.cie.2013.07.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The MRMAX chart is a single chart based on the standardized sample means and sample ranges for monitoring the mean vector and the covariance matrix of multivariate processes. User's familiarity with the computation of these statistics is a point in favor of the MRMAX chart. As a single chart, the recently proposed MRMAX chart is very appropriate for supplementary runs rules. In this article, we compare the supplemented MRMAX chart and the synthetic MRMAX chart with the standard MRMAX chart. The supplementary and the synthetic runs rules enhance the performance of the MRMAX chart. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：431 / 437

页数：7

共 50 条

[21] A GLR Control Chart for Monitoring the Mean Vector of a Multivariate Normal Process
Wang, Sai
Reynolds, Marion R., Jr.
[J]. JOURNAL OF QUALITY TECHNOLOGY, 2013, 45 (01) : 18 - 33
[22] Simultaneous monitoring of mean vector and covariance matrix of auto-correlated multivariate multiple linear profiles
Rahimi, Sajede Baratian
Amiri, Amirhossein
Khoo, Michael B. C.
Shadman, Alireza
[J]. QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2022, 38 (07) : 3513 - 3542
[23] An EWMA chart for monitoring the covariance matrix of a multivariate process based on dissimilarity index
Huwang, Longcheen
Lin, Po-Chun
Chang, Chih-Hsiang
Lin, Li-Wei
Tee, Yeu-Shiang
[J]. QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2017, 33 (08) : 2089 - 2104
[24] Klein's supplementary runs rules on X over bar chart to control the mean of a Weibull random variable
Ho, Linda Lee
Quinino, Roberto Costa
Fernandes, Fidel Henrique
Bourguignon, Marcelo
[J]. QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2022, 38 (04) : 1750 - 1759
[25] Statistical monitoring of the covariance matrix in multivariate processes: A literature review
Ebadi, Mohsen
Chenouri, Shojaeddin
Lin, Dennis K. J.
Steiner, Stefan H.
[J]. JOURNAL OF QUALITY TECHNOLOGY, 2022, 54 (03) : 269 - 289
[26] MONITORING THE COVARIANCE MATRIX WITH THE VMAX CHART
Machado, Marcela A. G.
Costa, Antonio F. B.
[J]. 14TH ISSAT INTERNATIONAL CONFERENCE ON RELIABILITY AND QUALITY IN DESIGN, PROCEEDINGS, 2008, : 100 - 104
[27] A LASSO Chart for Monitoring the Covariance Matrix
Maboudou-Tchao, Edgard M.
Diawara, Norou
[J]. QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2013, 10 (01): : 95 - 114
[28] THEORETICAL AND EXPERIMENTAL INVESTIGATION OF ESTIMATING CHANGE POINT IN MULTIVARIATE PROCESSES VIA SIMULTANEOUS COVARIANCE MATRIX AND MEAN VECTOR
Firouzi, Alireza
Yusof, Noordin Mohd
Lee, Muhammad Hisyam
Bashiri, Robabeh
[J]. JURNAL TEKNOLOGI-SCIENCES & ENGINEERING, 2022, 84 (01): : 85 - 96
[29] Simultaneous monitoring of mean vector and covariance matrix of multivariate simple linear profiles in the presence of within profile autocorrelation
Rahimi, Sajede Baratian
Amiri, Amirhossein
Ghashghaei, Reza
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2021, 50 (06) : 1791 - 1808
[30] High dimensional discriminant rules with shrinkage estimators of the covariance matrix and mean vector
Kim, Jaehoan
Park, Junyong
Park, Hoyoung
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2025, 234

← 1 2 3 4 5 →