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Statistics
A Journal of Theoretical and Applied Statistics
Volume 30, 1998 - Issue 4
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Original Articles

Some New Identities for Single Moments of Order Statistics

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Pages 345-355 | Received 26 Mar 1996, Accepted 12 May 1998, Published online: 27 Jun 2007

References

  • Arnold , B. C. , Balakrishnan , N. and Nagaraja , H. N. 1992 . A First Course in Order Statistics , New York : John Wiley and Sons .
  • Arnold , B. C. and Balakrishnan , N. 1989 . Relations, Bounds and Approximations for Order Statistics , Vol. 53 , Springer- . Lecture Notes in Statistics
  • Balakrishnan , N. and Malik , H. J. 1985 . Some General Identities Involving Order Statistics . Commun. Statist .-Theory Meth. , 14 ( 2 ) : 333 – 339 .
  • David , H. A. 1981 . Order Statistics , 2 nd Edition , New York : John Wiley and Sons .
  • Joshi , P. C. 1973 . Two Identities Involving Order Statistics . Biometrika , 60 : 428 – 429 .
  • Joshi , P. C. and Balakrishnan , N. 1981 . Applications of Order Statistics in Combinatorial Identities, . J. Comb. Infor. System Sci. , 6 : 271 – 278 .
  • Joshi , P. C. and Balakrishnan , N. 1982 . Recurrence Relations and Identities for the Product Moments of Order Statistics . Sankhyā B , 44 : 39 – 49 .
  • Joshi , P. C. 1991 . Some Identities Among Moments of Order Statistics . Commun. Statist.-Theory Meth. , 20 ( 9 ) : 2837 – 2843 .
  • Malik , H. J. 1967 . “ Exact Moments of Order Statistics from a Power-Function Distribution ” . In Skand. Aktuarietidskr. 64 – 69 .
  • Malik , H. J. , Balakrishnan , N. and Ahmed , S. E. 1988 . Recurrence Relations and Identities for Moments of Order Statistics, I: Arbitrary Continuous Distribution . Commun. Statist.-Theory Meth. , 17 ( 8 ) : 2623 – 2655 .
  • Riordan , J. 1968 . Combinatorial Identities , New York : John Wiley and Sons .
  • Sansone , G. 1959 . Orthogonal Functions , New York : Interscience, Inc. .

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