Abstract
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.
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The authors would like to extend their sincere appreciation to the Deanship of Scientific Research at King Saud University for funding this Research Group No. (RGP-1435-036).
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Kayid, M., Izadkhah, S. & ALmufarrej, D. General proportional mean residual life model. Appl Math 61, 607–622 (2016). https://doi.org/10.1007/s10492-016-0149-3
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DOI: https://doi.org/10.1007/s10492-016-0149-3
Keywords
- stochastic order
- preservation property
- decreasing failure rate (DFR)
- increasing mean residual life (IMRL)