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Original Articles

Variance of a Winsorized Mean When the Sample Contains Multiple Outliers

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Pages 139-149 | Published online: 02 Sep 2006

References

  • Andrews , D. F. , Bickel , P. J. , Hampel , F. R. , Huber , P. J. , Rogers , W. H. and Tukey , J. W. 1972 . Robust Estimates of Location Princeton : Princeton University Press .
  • Arnold , B. C. and Balakrishnan , N. 1989 . Relations Bounds and Approximations for Order Statistics , Vol. 53 of Lecture Notes in Statistics New York : Springer-Verlag .
  • Balakrishnan , N. 1992 . “ Relationships between single moments of order statistics from non-identically distributed variables ” . In Order Statistics and Nonparametrics–-Theory and Applications Edited by: Sen , P. K. and Salama , I. A. 65 – 78 . Amsterdam : Elsevier .
  • Balakrishnan , N. and David , H. A. 2001 . A note on the variance of a lightly trimmed mean when multiple outliers are present in the sample . Statistics & Probability Letters , 55 : 339 – 343 .
  • Barnett , V. and Lewis , T. 1993 . Outliers in Statistical Data, , 3rd ed. Chichester : JohnWiley & Sons .
  • Capéraà , P. and Rivest , L. P. 1995 . On the variance of the trimmed mean . Statistics & Probability Letters , 22 : 79 – 85 .
  • David , H. A. 1981 . Orde Statistics, , 2nd ed. New York : John Wiley & Sons .
  • David , H. A. and Balakrishnan , N. 1996 . Product moments of order statistics and the variance of a lightly trimmed mean . Statistics & Probability Letters , 29 : 85 – 87 .
  • David , H. A. , Kennedy , W. J. and Knight , R. D. 1977 . Means, variances, and covariances of normal order statistics in the presence of an outlier . Selected Tables in Mathematical Statistics , 5 : 75 – 204 .
  • Joshi , P. C. and Balakrishnan , N. 1982 . Recurrence relations and identities for the product moments of order statistics . Sankhya, Series B , 44 : 39 – 49 .
  • Tietjen , G. L. , Kahaner , D. K. and Beckman , R. J. 1977 . Variances and covariances of the normal order statistics for sample sizes 2 to 50 . Selected Tables in Mathematical Statistics , 5 : 1 – 73 .
  • Tiku , M. L. , Tan , W. Y. and Balakrishnan , N. 1986 . Robust Inference New York : Marcel Dekker .

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