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Mixture and Exponential Arcs on Generalized Statistical Manifold

2018; Multidisciplinary Digital Publishing Institute; Volume: 20; Issue: 3 Linguagem: Inglês

10.3390/e20030147

1099-4300

Luiza Helena Félix de Andrade, Francisca L. J. Vieira, Rui F. Vigelis, Charles C. Cavalcante,

Mathematical and Theoretical Analysis

In this paper, we investigate the mixture arc on generalized statistical manifolds. We ensure that the generalization of the mixture arc is well defined and we are able to provide a generalization of the open exponential arc and its properties. We consider the model of a φ -family of distributions to describe our general statistical model.