New robust estimators for detecting non-random patterns in multivariate control charts

A simulation approach

Jeh-Nan Pan, Sheau Chiann Chen

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In the past decade, different robust estimators have been proposed by several researchers to improve the ability to detect non-random patterns such as trend, process mean shift, and outliers in multivariate control charts. However, the use of the sample mean vector and the mean square successive difference matrix in the T2 control chart is sensitive in detecting process mean shift or trend but less sensitive in detecting outliers. On the other hand, the minimum volume ellipsoid (MVE) estimators in the T2 control chart are sensitive in detecting multiple outliers but less sensitive in detecting trend or process mean shift. Therefore, new robust estimators using both merits of the mean square successive difference matrix and the MVE estimators are developed to modify Hotelling's T2 control chart. To compare the detection performance among various control charts, a simulation approach for establishing control limits and calculating signal probabilities is provided as well. Our simulation results show that a multivariate control chart using the new robust estimators can achieve a well-balanced sensitivity in detecting the above-mentioned non-random patterns. Finally, three numerical examples further demonstrate the usefulness of our new robust estimators.

Original languageEnglish
Pages (from-to)289-300
Number of pages12
JournalJournal of Statistical Computation and Simulation
Volume81
Issue number3
DOIs
Publication statusPublished - 2011 Mar 1

Fingerprint

Multivariate Control Charts
Robust Estimators
Control Charts
Process Mean
Mean Shift
Minimum Volume Ellipsoid
Difference Matrix
Outlier
Mean Square
Simulation
Hotelling's T2
Estimator
Sample mean
Numerical Examples
Control charts
Multivariate control charts
Robust estimators
Demonstrate
Trends
Outliers

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

Cite this

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New robust estimators for detecting non-random patterns in multivariate control charts : A simulation approach. / Pan, Jeh-Nan; Chen, Sheau Chiann.

In: Journal of Statistical Computation and Simulation, Vol. 81, No. 3, 01.03.2011, p. 289-300.

Research output: Contribution to journalArticle

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