The effects of violations of the multivariate normality assumption in multivariate Shewhart and MEWMA control charts

被引:11
|
作者
Nidsunkid, Sudarat [1 ]
Borkowski, John J. [2 ]
Budsaba, Kamon [1 ]
机构
[1] Thammasat Univ, Dept Math & Stat, Pathum Thani, Thailand
[2] Montana State Univ, Dept Math Sci, Bozeman, MT 59717 USA
关键词
average run length; MEWMA control chart; multivariate distributions; multivariate Shewhart control chart; standarad deviation of run length; AVERAGE CONTROL CHART;
D O I
10.1002/qre.2218
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A multivariate Shewhart and a multivariate exponentially weighted moving average control charts are types of multivariate control charts for monitoring the mean vector. For those control charts, a multivariate normal distribution is an important assumption that is used to describe a behavior of a set of quality characteristics of interest. This research explores the sensitivity of average run lengths and standard deviation of run lengths for the multivariate Shewhart and the multivariate exponentially weighted moving average control charts when the normality assumption is incorrect.
引用
收藏
页码:2563 / 2576
页数:14
相关论文
共 50 条
  • [31] A Performance Analysis of Multivariate Control Charts
    Lara, Rodrigo Luiz P.
    Ribeiro Junior, Jose Ivo
    Oliveira, Rafael L. R.
    SIGMAE, 2014, 3 (02): : 55 - 59
  • [32] The effects of constructed bivariate copulas on multivariate control charts effectiveness
    Sukparungsee, Saowanit
    Sasiwannapong, Sirasak
    Busababodhin, Piyapatr
    Areepong, Yupaporn
    QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2021, 37 (05) : 2156 - 2168
  • [33] Estimation in Shewhart control charts: effects and corrections
    Albers, W
    Kallenberg, WCM
    METRIKA, 2004, 59 (03) : 207 - 234
  • [34] Estimation in Shewhart control charts: effects and corrections
    Willem Albers
    Wilbert C.M. Kallenberg
    Metrika, 2004, 59 : 207 - 234
  • [35] Control charts for multivariate spatial autoregressive models
    Robert Garthoff
    Philipp Otto
    AStA Advances in Statistical Analysis, 2017, 101 : 67 - 94
  • [36] Multivariate extensions to cumulative sum control charts
    Runger, GC
    Testik, MC
    QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2004, 20 (06) : 587 - 606
  • [37] Multivariate monitoring using an MEWMA control chart with unequal sample sizes
    Kim, K
    Reynolds, MR
    JOURNAL OF QUALITY TECHNOLOGY, 2005, 37 (04) : 267 - 281
  • [38] A Bayesian Approach to Diagnostics for Multivariate Control Charts
    Steward, Robert M.
    Rigdon, Steven E.
    Pan, Rong
    JOURNAL OF QUALITY TECHNOLOGY, 2016, 48 (04) : 303 - 325
  • [39] Implementation of multivariate control charts in a clinical setting
    Waterhouse, Mary
    Smith, Ian
    Assareh, Hassan
    Mengersen, Kerrie
    INTERNATIONAL JOURNAL FOR QUALITY IN HEALTH CARE, 2010, 22 (05) : 408 - 414
  • [40] Multivariate control charts based on a projection approach
    Bodnar O.
    Schmid W.
    Allgemeines Statistisches Archiv, 2005, 89 (1): : 75 - 93