On the Mixture Proportional Mean Residual Life Model
Majid Rezaei and
Behzad Gholizadeh
Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 20, 4263-4277
Abstract:
In this article, we propose a new mixture model induced by the model of proportional mean residual life. Under some appropriate assumptions, it is shown that the mixing and overall variables in the model admit the positive likelihood ratio dependence structure. To see how the overall variable is affected by the stochastic variation of the mixing variable, we study some stochastic comparisons using these variables. Finally, some useful bounds for tail probability of the overall variable for large values of the mixing variable are derived.
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:44:y:2015:i:20:p:4263-4277
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DOI: 10.1080/03610926.2013.810262
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