Geometry Induced by a Generalization of Rényi Divergence

In this paper, we propose a generalization of Rényi divergence, and then we investigate its induced geometry. This generalization is given in terms of a φ-function, the same function that is used in the definition of non-parametric φ-families. The properties of φ-functions proved to be crucial in th...

Full description

Bibliographic Details
Main Authors: David C. de Souza, Rui F. Vigelis, Charles C. Cavalcante
Format: Article
Language:English
Published: MDPI AG 2016-11-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/18/11/407