Some inequalities for certain functions of order statistics from IFR distributions

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

  • Robert A. Brown
  • Nozer D. Singpurwalla

Detail(s)

Original languageEnglish
Pages (from-to)245-247
Journal / PublicationJournal of the American Statistical Association
Volume70
Issue number349
Publication statusPublished - Mar 1975
Externally publishedYes

Abstract

We consider functions which are the sum of the k largest order statistics in a sample of size n from a continuous distribution F, minus nh, where h is a specified constant. We prove that such functions are concave in n. If F is an exponential distribution, then for a fixed k we obtain that value of n which maximizes the expected value of the function defined above. For F IFR we obtain an upper bound on n and also an upper bound on the maximum of the expected value of the function. © 1975, Taylor & Francis Group, LLC.

Citation Format(s)

Some inequalities for certain functions of order statistics from IFR distributions. / Brown, Robert A.; Singpurwalla, Nozer D.
In: Journal of the American Statistical Association, Vol. 70, No. 349, 03.1975, p. 245-247.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review