Geodesic
General proportional mean residual life model
Applications of Mathematics, Tome 61 (2016) no. 5, pp. 607-622

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By considering a covariate random variable in the ordinary proportional mean residual life (PMRL) model, we introduce and study a general model, taking more situations into account with respect to the ordinary PMRL model. We investigate how stochastic structures of the proposed model are affected by the stochastic properties of the baseline and the mixing variables in the model. Several characterizations and preservation properties of the new model under different stochastic orders and aging classes are provided. In addition, to illustrate different properties of the model, some examples are presented.
DOI : 10.1007/s10492-016-0149-3
Classification : 60E05, 60E15, 62N05
Keywords: stochastic order; preservation property; decreasing failure rate (DFR); increasing mean residual life (IMRL) 
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     title = {General proportional mean residual life model},
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Kayid, Mohamed; Izadkhah, Salman; ALmufarrej, Dalal. General proportional mean residual life model. Applications of Mathematics, Tome 61 (2016) no. 5, pp. 607-622. doi: 10.1007/s10492-016-0149-3

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