Reversed hazard function of uncertain lifetime

  • Hamed Ahmadzade
  • Rong Gao


Reversed hazard function is widely applied in reliability analysis. This paper considers the human uncertainty in a system, and employs uncertain variable to model the lifetime of a component. Concepts of mean residual life and residual entropy are proposed to describe a failed system, and their relationships with the reversed hazard function are discussed. In addition, this paper provides some applications of reversed hazard function to the mean past lifetime and past entropy.


Uncertain variable Hazard distribution Reversed hazard function 


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© Springer Science+Business Media, LLC, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Department of StatisticsUniversity of Sistan and BaluchestanZahedanIran
  2. 2.School of Economics and ManagementHebei University of TechnologyTianjinChina

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