6 citations · 18 across the 5 of their papers we have counts for
5 papers
Conditions for the existence of a generalization of Rényi divergence
Rui F. Vigelis, Luiza H. F. de Andrade, Charles C. Cavalcante
We give necessary and sufficient conditions for the existence of a generalization of Rényi divergence, which is defined in terms of a deformed exponential function. If the underlyi…
Properties of a Generalized Divergence Related to Tsallis Relative Entropy
Rui F. Vigelis, Luiza H. F. de Andrade, Charles C. Cavalcante
In this paper, we investigate the partition inequality, joint convexity, and Pinsker's inequality, for a divergence that generalizes the Tsallis Relative Entropy and Kullback-Leibl…
New Metric and Connections in Statistical Manifolds
Rui F. Vigelis, David C. de Souza, Charles C. Cavalcante
We define a metric and a family of -connections in statistical manifolds, based on -divergence, which emerges in the framework of -families of probability distributions. T…
The -condition and -families of probability distributions
Rui F. Vigelis, Charles C. Cavalcante
In this paper, we provide some results related to the -condition of Musielak-Orlicz functions and -families of probability distributions, which are modeled on Musielak-Orli…
On -families of probability distributions
Rui F. Vigelis, Charles C. Cavalcante
We generalize the exponential family of probability distributions. In our approach, the exponential function is replaced by a -function, resulting in a -family of probability…