Some Properties of Residual R-norm Entropy and Divergence Measures

Abstract

Shannon entropy plays an important role in measuring the expected uncertainty contained in the probability density function about the predictability of an outcome of a random variable. However, in certain systems, Shannon entropy may not be appropriate, where some generalized versions of it are only suitable. One such generalization is due to Boekee and Lubee [1] , called R-norm entropy. Recently, Nanda and Das [2] studied the R-norm entropy and its divergence measure in the context of used items, useful in reliability modelling. In the present article, we further study R-norm entropy and divergence in the context of weighted models. We also extend these measures to the conditionally specified and conditional survival models, and studied their properties.