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Statistical Papers

, Volume 49, Issue 4, pp 749–767 | Cite as

Reversed hazard rate order of equilibrium distributions and a related aging notion

  • Xiaohu Li
  • Maochao Xu
Regular Article

Abstract

This paper deals with preservation of the reversed hazard rate order between equilibrium random variables under formations of some reliability structures. We further investigate a new aging notion based upon the reversed hazard rate order between a random life and its equilibrium version. A nonparametric method is developed to test the exponentiality against such a strict aging property, some numerical results are presented as well.

Keywords

DMRL IFRA Likelihood ratio order NBRUrh Nonhomogeneous Poisson shock model Parallel Series TTT plot U-statistics 

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsLanzhou UniversityLanzhouChina
  2. 2.Department of Mathematics and StatisticsPortland State UniversityPortlandUSA

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