Published

2010-07-01

HOTELLING’S T² CONTROL CHARTS BASED ON ROBUST ESTIMATORS

Keywords:

Multivariate Control Charts, MVE Estimators, Outliers, S Estimators. (es)

Authors

  • SERGIO YÁÑEZ Escuela de Estadística, Universidad Nacional de Colombia, Medellín, Colombia
  • NELFI GONZÁLEZ Escuela de Estadística, Universidad Nacional de Colombia, Medellín, Colombia
  • JOSÉ ALBERTO VARGAS Departamento de Estadística, Universidad Nacional de Colombia, Bogotá, Colombia
Under the presence of multivariate outliers, in a Phase I analysis of historical set of data, the T² control chart based on the usual sample mean vector and sample variance covariance matrix performs poorly. Several alternative estimators have been proposed. Among them, estimators based on the minimum volume ellipsoid (MVE) and the minimum covariance determinant (MCD) are powerful in detecting a reasonable number of outliers. In this paper we propose a T² control chart using the biweight S estimators for the location and dispersion parameters when monitoring multivariate individual observations. Simulation studies show that this method outperforms the T²control chart based on MVE estimators for a small number of observations.

How to Cite

IEEE

[1]
S. YÁÑEZ, N. GONZÁLEZ, and J. A. VARGAS, “HOTELLING’S T² CONTROL CHARTS BASED ON ROBUST ESTIMATORS”, DYNA, vol. 77, no. 163, pp. 239–247, Jul. 2010.

ACM

[1]
YÁÑEZ, S., GONZÁLEZ, N. and VARGAS, J.A. 2010. HOTELLING’S T² CONTROL CHARTS BASED ON ROBUST ESTIMATORS. DYNA. 77, 163 (Jul. 2010), 239–247.

ACS

(1)
YÁÑEZ, S.; GONZÁLEZ, N.; VARGAS, J. A. HOTELLING’S T² CONTROL CHARTS BASED ON ROBUST ESTIMATORS. DYNA 2010, 77, 239-247.

APA

YÁÑEZ, S., GONZÁLEZ, N. and VARGAS, J. A. (2010). HOTELLING’S T² CONTROL CHARTS BASED ON ROBUST ESTIMATORS. DYNA, 77(163), 239–247. https://revistas.unal.edu.co/index.php/dyna/article/view/25556

ABNT

YÁÑEZ, S.; GONZÁLEZ, N.; VARGAS, J. A. HOTELLING’S T² CONTROL CHARTS BASED ON ROBUST ESTIMATORS. DYNA, [S. l.], v. 77, n. 163, p. 239–247, 2010. Disponível em: https://revistas.unal.edu.co/index.php/dyna/article/view/25556. Acesso em: 18 feb. 2025.

Chicago

YÁÑEZ, SERGIO, NELFI GONZÁLEZ, and JOSÉ ALBERTO VARGAS. 2010. “HOTELLING’S T² CONTROL CHARTS BASED ON ROBUST ESTIMATORS”. DYNA 77 (163):239-47. https://revistas.unal.edu.co/index.php/dyna/article/view/25556.

Harvard

YÁÑEZ, S., GONZÁLEZ, N. and VARGAS, J. A. (2010) “HOTELLING’S T² CONTROL CHARTS BASED ON ROBUST ESTIMATORS”, DYNA, 77(163), pp. 239–247. Available at: https://revistas.unal.edu.co/index.php/dyna/article/view/25556 (Accessed: 18 February 2025).

MLA

YÁÑEZ, S., N. GONZÁLEZ, and J. A. VARGAS. “HOTELLING’S T² CONTROL CHARTS BASED ON ROBUST ESTIMATORS”. DYNA, vol. 77, no. 163, July 2010, pp. 239-47, https://revistas.unal.edu.co/index.php/dyna/article/view/25556.

Turabian

YÁÑEZ, SERGIO, NELFI GONZÁLEZ, and JOSÉ ALBERTO VARGAS. “HOTELLING’S T² CONTROL CHARTS BASED ON ROBUST ESTIMATORS”. DYNA 77, no. 163 (July 1, 2010): 239–247. Accessed February 18, 2025. https://revistas.unal.edu.co/index.php/dyna/article/view/25556.

Vancouver

1.
YÁÑEZ S, GONZÁLEZ N, VARGAS JA. HOTELLING’S T² CONTROL CHARTS BASED ON ROBUST ESTIMATORS. DYNA [Internet]. 2010 Jul. 1 [cited 2025 Feb. 18];77(163):239-47. Available from: https://revistas.unal.edu.co/index.php/dyna/article/view/25556

Download Citation

Article abstract page views

279

Downloads