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The 1972 Wald Lecture Robust Statistics: A Review
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This is a selective review on robust statistics, centering on estimates of location, but extending into other estimation and testing problems. After some historical remarks, several possible concepts of robustness are critically reviewed. Three important classes of estimates are singled out and some basic heuristic tools for assessing properties of robust estimates (or test statistics) are discussed: influence curve, jackknifing. Then we give some asymptotic and finite sample minimax results for estimation and testing. The material is complemented by miscellaneous remarks on: computational aspects; other estimates; scale, regression, time series and other estimation problems; some tentative practical recommendations.
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Cited by
Robust Tests for the Equality of Variances
Brown, M. B., & Forsythe, A. B. (1974) · Journal of the American Statistical Association · doi:10.1080/01621459.1974.10482955 · Cited by 3,216
Approximate non-Gaussian filtering with linear state and observation relations
Masreliez, C. (1975) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1975.1100882 · Cited by 369
Xie, Y., Xiao, G., Coombes, K. R., Behrens, C., Solis, L. M., Raso, G., Girard, L., Erickson, H. S., Roth, J., Heymach, J. V., et al. (2011) · Clinical Cancer Research · doi:10.1158/1078-0432.ccr-11-0196 · Cited by 162
A robust principal component analysis
Ruymgaart, F. H. (1981) · Journal of Multivariate Analysis · doi:10.1016/0047-259x(81)90091-9 · Cited by 48
de Groot, M., Neeleman, J., van der Meer, K., & Burger, H. (2010) · Suicide and Life-Threatening Behavior · doi:10.1521/suli.2010.40.5.425 · Cited by 34
Metadata
- Authors
- Huber, P. J.
- Venue
- The Annals of Mathematical Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1972-08
- Volume
- 43
- Issue
- 4
- Pages
- 1041-1067
- ISSN
- 0003-4851 (ISSN-L)
- OpenAlex
- W1971334823
- Cited by
- 649
- References
- 0
- FWCI
- 11.69
- Type
- journal article
- Language
- en
- Open access
- diamond
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