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Open AccessArticle

Mixture and Exponential Arcs on Generalized Statistical Manifold

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Department of Natural Science, Mathematics and Statistics,Federal Rural University of Semi-Arid Region, Mossoró 59.625-900, Brazil
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Department of Mathematics,Regional University of Cariri, Juazeiro do Norte 63105-000, Brazil
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Computer Engineering, Campus Sobral, Federal University of Ceará, Sobral 62010-560, Brazil
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Department of Teleinformatics Engineering, Federal University of Ceará, Fortaleza 60455-900, Brazil
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Author to whom correspondence should be addressed.
Entropy 2018, 20(3), 147; https://doi.org/10.3390/e20030147
Received: 19 January 2018 / Revised: 18 February 2018 / Accepted: 21 February 2018 / Published: 25 February 2018
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. View Full-Text
Keywords: statistical manifold; φ-family; information geometry; exponential arcs; mixture arcs statistical manifold; φ-family; information geometry; exponential arcs; mixture arcs
MDPI and ACS Style

De Andrade, L.H.F.; Vieira, F.L.J.; Vigelis, R.F.; Cavalcante, C.C. Mixture and Exponential Arcs on Generalized Statistical Manifold. Entropy 2018, 20, 147.

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