Title of article :
New Information Inequalities in Terms of Variational Distance and its Application
Author/Authors :
jain, k.c. malaviya national institute of technology - department of mathematics, India , chhabr, praphull malaviya national institute of technology - department of mathematics, India
Abstract :
In this work, new information inequalities are obtained and characterized on new generalized f- divergence (introduced by Jain and Saraswat (2012)) in terms of the Variational distance and these inequalities have been taken for evaluating some new relations among well known divergences. These new relations have been veried numerically by considering two discrete probability distributions: Binomial and Poisson. Asymptotic approximation on new generalized f-divergence is done as well.
Keywords :
Variational distance , new information inequalities , bounded variation , convex and normalized function , bounds of divergences , numerical verication , asymptotic approximation
Journal title :
Journal Of New Results In Science
Journal title :
Journal Of New Results In Science
