Likelihood and Bayesian estimation of $$P(Y{

Francesca Condino (), Filippo Domma and Giovanni Latorre
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Francesca Condino: University of Calabria
Filippo Domma: University of Calabria
Giovanni Latorre: University of Calabria

Statistical Papers, 2018, vol. 59, issue 2, No 3, 467-485

Abstract: Abstract In this paper, we study inference for the stress–strength reliability based on lower record data, where the stress and the strength variables are modeled by two independent but not identically distributed random variables from distributions belonging to the proportional reversed hazard family. Likelihood and Bayesian estimators are derived, then confidence intervals and credible sets are obtained. Moreover, we consider the Topp–Leone distribution as a particular case of distribution belonging to this family and we derive some numerical results in order to show the performance of the proposed procedures. Finally, two applications to real data are reported.

Keywords: Reliability; Stress–strength model; Confidence interval; Topp–Leone distribution (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s00362-016-0772-9

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