The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Robust Procedures in Multivariate Analysis I: Robust Covariance Estimation
Abstract
SUMMARY The detection of atypical observations from multivariate data sets can be enhanced by examining probabilityplotsofMahalanobis squared distances using robust M-estimates of means and of covariances, rather than the usual maximum likelihood estimates. The weights associated with the robust estimation can also be used to indicate atypical observations. For uncontaminated data, the robust estimates are similar to the usual estimates. A procedure for robust principal component analysis is given; it also indicates atypical observations and provides an analysis relatively little influenced by such observations.
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Cites
The Influence Curve and its Role in Robust Estimation
Hampel, F. R. (1974) · Journal of the American Statistical Association · doi:10.1080/01621459.1974.10482962 · Cited by 2,706
Robust $M$-Estimators of Multivariate Location and Scatter
Maronna, R. A. (1976) · The Annals of Statistics · doi:10.1214/aos/1176343347 · Cited by 952
Robust Statistical Procedures.
Hogg, R. V., & Huber, P. J. (1978) · Journal of the American Statistical Association · doi:10.2307/2286307 · Cited by 515
Robust estimation: A condensed partial survey
Hampel, F. R. (1973) · Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete · doi:10.1007/bf00536619 · Cited by 226
Healy, M. J. R. (1968) · Applied Statistics · doi:10.2307/2985678 · Cited by 184
Cited by
Unmasking Multivariate Outliers and Leverage Points
Rousseeuw, P. J., & van Zomeren, B. C. (1990) · Journal of the American Statistical Association · doi:10.1080/01621459.1990.10474920 · Cited by 1,508
ROBPCA: A New Approach to Robust Principal Component Analysis
Hubert, M., Rousseeuw, P. J., & Vanden Branden, K. (2005) · Technometrics · doi:10.1198/004017004000000563 · Cited by 1,052
Black, M. J., & Rangarajan, A. (1996) · International Journal of Computer Vision · doi:10.1007/bf00131148 · Cited by 757
An Object-Oriented Framework for Robust Multivariate Analysis
Todorov, V., & Filzmoser, P. (2009) · Journal of Statistical Software · doi:10.18637/jss.v032.i03 · Cited by 420
Robust statistics in data analysis — A review
Daszykowski, M., Kaczmarek, K., Vander Heyden, Y., & Walczak, B. (2007) · Chemometrics and Intelligent Laboratory Systems · doi:10.1016/j.chemolab.2006.06.016 · Cited by 331
Metadata
- Authors
- Campbell, N. A.
- Venue
- Applied Statistics
- Publisher
- JSTOR
- Published
- 1980
- Volume
- 29
- Issue
- 3
- Pages
- 231
- ISSN
- 0035-9254 (ISSN-L)
- OpenAlex
- W151981251
- Cited by
- 381
- References
- 5
- FWCI
- 5.33
- Type
- journal article
- Language
- en
- Open access
- closed
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