Results on Relative Mean Residual Life and Relative Cumulative Residual Entropy

Abstract

Wei [21] has proposed the relative mean residual life function for comparing two lifetime distributions and studied its properties and relationship with other stochastic orders. In this paper, we obtain some new results on the relative mean residual life function and give a characterization result for a relative ordering based on this function. Motivated by this notion, we also introduce two notions of the dynamic relative cumulative residual entropy functions. Their properties and relationship with other relative orderings are investigated.

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