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August, 1972 The 1972 Wald Lecture Robust Statistics: A Review
Peter J. Huber
Ann. Math. Statist. 43(4): 1041-1067 (August, 1972). DOI: 10.1214/aoms/1177692459


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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Peter J. Huber. "The 1972 Wald Lecture Robust Statistics: A Review." Ann. Math. Statist. 43 (4) 1041 - 1067, August, 1972.


Published: August, 1972
First available in Project Euclid: 27 April 2007

zbMATH: 0254.62023
MathSciNet: MR314180
Digital Object Identifier: 10.1214/aoms/1177692459

Rights: Copyright © 1972 Institute of Mathematical Statistics

Vol.43 • No. 4 • August, 1972
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