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Some Shifted Stochastic Orders

  • Rosa E. Lillo
  • Asok K. Nanda
  • Moshe Shaked
Part of the Statistics for Industry and Technology book series (SIT)

Abstract

In this paper we study some known and some new shifted orders. We compare them, we obtain some basic properties of them, we derive some closure properties of them, and we show how they can be used for stochastic comparisons of order statistics; that is, of k-out-of-n systems.

Keywords and phrases

Logconcavity logconvexity stochastic orders order statistics hazard rate likelihood ratio k-out-of-n systems 

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Rosa E. Lillo
    • 1
  • Asok K. Nanda
    • 2
  • Moshe Shaked
    • 3
  1. 1.Universidad Carlos III de MadridMadridSpain
  2. 2.Panjab UniversityChandigarhIndia
  3. 3.University of ArizonaTucsonUSA

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