On bending (down and up) property of reliability measures in mixtures

F. G. Badía, Ji Hwan Cha

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


In this paper, we study the bending property of the failure rate, reversed hazard rate, mean residual life and mean inactivity time in mixtures. For those four reliability measures, the weak and strong bending properties are studied and discussed, respectively. The results are illustrated with suitable examples, where most of them are relative to the model of proportional reliability measures.

Original languageEnglish
Pages (from-to)455-482
Number of pages28
Issue number4
StatePublished - 1 May 2017


  • Ageing pattern
  • Bending property
  • Mixture distribution
  • Mixture of proportional reliability model
  • Stochastic order


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