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math.PR2015
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…
math.PR2013
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…