During past years Dragomir has contributed a lot of work providing different kinds of bounds on the distance, information and divergence measures. In this paper, we have unified some of his results using the relative information of type s and relating it with the Csisz ar’s f -divergence. 2003 Elsevier Inc. All rights reserved.

Genetic divergence in the form of the mandible is examined in ten inbred strains of mice. Several univariate and multivariate genetic distance estimates are given for the morphological data and these estimates are compared to measures of genealogical and molecular divergence. Highly significant divergence occurs among the ten strains in all 11 mandible traits considered individually and simulta...

An empirical informational divergence (relative entropy) between two individual sequences has been introduced in [1]. It has been demonstrated that if the two sequences are independent realizations of two finite-order, finite alphabet, stationary Markov processes, the proposed empirical divergence measure (ZMM), converges to the relative entropy almost surely. This leads to a realization of an ...

The present paper introduces a parametric generalized exponential measure of fuzzy divergence of order α with the proof of its validity. A particular case of proposed fuzzy divergence measure is studied. Some properties of the new divergence measure between different fuzzy sets are proved. We establish a relation between exponential fuzzy entropy of order α and our fuzzy divergence measure. Fur...