A Multivariate Change Point Detection Procedure for Monitoring Mean and Covariance Simultaneously

DOĞU E., DEVECİ KOCAKOÇ İ.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, cilt.42, sa.6, ss.1235-1255, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 6
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1080/03610918.2012.661907
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1235-1255
  • Anahtar Kelimeler: Change point estimation, Generalized variance control chart, Hotelling's T-2 control chart, Maximum likelihood estimation (MLE), CONTROL CHARTS, VECTOR
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

The signal issued by a control chart triggers the process professionals to investigate the special cause. Change point methods simplify the efforts to search for and identify the special cause. In this study, using maximum likelihood estimation, a multivariate joint change point estimation procedure for monitoring both location and dispersion simultaneously is proposed. After a signal is generated by the simultaneously used Hotelling's T-2 and/or generalized variance control charts, the procedure starts detecting the time of the change. The performance of the proposed method for several structural changes for the mean vector and covariance matrix is discussed.