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

F. G. Badía () and Ji Hwan Cha ()
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F. G. Badía: University of Zaragoza
Ji Hwan Cha: Ewha Womans University

Metrika: International Journal for Theoretical and Applied Statistics, 2017, vol. 80, issue 4, No 4, 455-482

Abstract: Abstract 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.

Keywords: Mixture distribution; Bending property; Stochastic order; Ageing pattern; Mixture of proportional reliability model (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00184-017-0613-4

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