Chapter 2: New nonsymmetric and parametric divergences with particular cases

Ram Naresh Saraswat; Ajay Tak    Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur, India

Abstract

In this paper, we present some new generalized information divergence measures belong to family of Csiszár's f-divergences. We derive a series of new nonsymmetric divergence measures. We establish a relation among divergence measures. We also derive parametric measures of information. We also give concluding remarks and future scope.

Keywords

Convex function; Nonsymmetric divergence; Parametric measure; Csiszár's f-divergence

2.1 Introduction

The first idea of information theory is discussed by Harry Nyquist in 1924–1928 [15,16] and Hartley in 1928. He ...

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