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Ordering distributions by scaled order statistics

Author

Listed:
  • Marco Scarsini

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique, Dipartimento di Scienze Economiche e Aziendali - LUISS - Libera Università Internazionale degli Studi Sociali Guido Carli [Roma])

  • Moshe Shaked

    (University of Arizona)

Abstract

Motivated by applications in reliability theory, we define a preordering (X sub 1, ..., X sub n) about or less than (k) (Y sub 1, ..., Y sub n) of nonnegative random vectors by requiring the k-th order statistic of a sub 1 X sub 1, ..., a sub n X sub n to be stochastically smaller than the k-th order statistic of a sub 1 Y sub 1, ..., a sub n Y sub n for all choices of a sub i > O, i = 1, 2, ..., n. We identify a class of functions M sub k, n such that X about or less than (k) Y if and only if E phi (X)

Suggested Citation

  • Marco Scarsini & Moshe Shaked, 1987. "Ordering distributions by scaled order statistics," Post-Print hal-00542242, HAL.
    • Handle: RePEc:hal:journl:hal-00542242
    DOI: 10.1007/BF01258603
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    Cited by:

    1. Hennessy, David A., 2000. "Preferences over valuation distributions in auctions," Economics Letters, Elsevier, vol. 68(1), pages 55-59, July.

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