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Journal of the American Statistical Association Volume 78, 1983 - Issue 381
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Theory & Method

Minimax Aspects of Bounded-Influence Regression

Peter J. Huber Department of Statistics, Harvard University, Cambridge, MA, 02138, USA
Pages 66-72 | Received 01 May 1981, Published online: 12 Mar 2012

References

  • Hampel , F. R. 1968 . “Contributions to the Theory of Robust Estimation,” , Ph.D. thesis Berkeley : University of California .
  • Hampel , F. R. 1974 . “The Influence Curve and Its Role in Robust Estimation,” . Journal of the American Statistical Association , 69 : 383 – 394 .
  • Hampel , F. R. “Optimally Bounding the Gross-Error-Sensitivity and the Influence of Position in Factor Space,” . Proceedings of the Statistical Computing Section . pp. 59 – 64 . American Statistical Association .
  • Hoaglin , D. C. and Welsch , R. E. 1978 . “The Hat Matrix in Regression and ANOVA,” . The American Statistician , 32 : 17 – 22 .
  • Huber , P. J. 1964 . “Robust Estimation of a Location Parameter,” . Annals of Mathematical Statistics , 35 : 73 – 101 .
  • Huber , P. J. 1968 . “Robust Confidence Limits,” . Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete , 10 : 269 – 278 .
  • Huber , P. J. 1981 . Robust Statistics , New York : John Wiley .
  • Krasker , W. S. and Welsch , R. E. 1982 . “Efficient Bounded-Influence Regression Estimation,” . Journal of the American Statistical Association , 77 : 595 – 605 .
  • Rieder , H. 1978 . “A Robust Asymptotic Testing Model,” . Annals of Statistics , 56 : 1080 – 1094 .
  • Siegel , A. F. and Benson , R. H. 1982 . “A Robust Comparison of Biological Shapes,” . Biometrics , 38 : 341 – 350 .

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