On generalized conditional cumulative residual inaccuracy measure

摘要

Recently, the notion of cumulative residual Renyi's entropy has been proposed in the literature as a measure of information that parallels Renyi's entropy. Motivated by this, here we introduce a generalized measure of it, namely cumulative residual inaccuracy of order alpha. We study the proposed measure for conditionally specified models of two components having possibly different ages called generalized conditional cumulative residual inaccuracy measure. Several properties of generalized conditional cumulative residual inaccuracy measure including the effect of monotone transformation are investigated. Further, we provide some bounds on using the usual stochastic order and characterize some bivariate distributions using the concept of conditional proportional hazard rate model.