Aspects of the mean residual life order for weighted distributions |
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Authors: | S. Izadkhah A.H. Rezaei Roknabadi |
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Affiliation: | Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran |
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Abstract: | In this paper, we first provide conditions for preservation of the mean residual life (mrl) order under weighting. Then we apply the obtained results to establish our results about preservation of the decreasing mrl class by weighted distributions. In addition, we present some results for comparing the original random variable to its weighted version in terms of the mrl order. Also, some examples are given to illustrate the results. |
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Keywords: | weighted distributions mean residual life order preservation generalized Pareto distribution DMRL |
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