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Original Articles

A strong law of large number for l-statistics in the non-i.d. case

Pages 1813-1819 | Received 01 Feb 1994, Published online: 27 Jun 2007

References

  • Chow , Y.S. and Teicher , H. 1988 . Probability Theory , New York : Springer-Verlag .
  • Hajek , J. 1968 . Asymptotic normality of simple linear rank statistics under alternatives . Ann Math. Statist , 39 : 325 – 346 .
  • Helmers , R. 1977 . A strong law of large numbers for linear combinations of order statistics , Amsterdam : Mathematisch Centrum . Report SW 50/77
  • Mason , D.M. 1982 . Some characterizations of strong laws for linear functions of order statistics . Ann Probability , 10 : 1051 – 1057 .
  • Stigler , S.M. 1974 . Linear functions of order statistics with smooth weight functions . Ann Statist , 2 : 676 – 693 .
  • Stout , W.F. Almost Sure Convergence , New York : Academic Press .
  • Van Zwet , W.R. 1980 . A strong law for linear functions of order statistics . Ann Probability , 8 : 986 – 990 .
  • Wellner , J.A. 1977 . A Glivenko-Cantelli theorem and strong laws of large numbers for functions of order statistics . Ann. Statist , 5 : 473 – 480 .
  • Xiang , X. 1991 . L-statistics in the non-id case , University of Chicago . Technical report no 306, Department of Statistics

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