Mixture and Exponential Arcs on Generalized Statistical Manifold.

De Andrade, Luiza H F; Vieira, Francisca L J; Vigelis, Rui F; Cavalcante, Charles C

De Andrade, Luiza H F; Vieira, Francisca L J; Vigelis, Rui F; Cavalcante, Charles C.

Afiliação

De Andrade LHF; Department of Natural Science, Mathematics and Statistics,Federal Rural University of Semi-Arid Region, Mossoró 59.625-900, Brazil.
Vieira FLJ; Department of Mathematics,Regional University of Cariri, Juazeiro do Norte 63105-000, Brazil.
Vigelis RF; Computer Engineering, Campus Sobral, Federal University of Ceará, Sobral 62010-560, Brazil.
Cavalcante CC; Department of Teleinformatics Engineering, Federal University of Ceará, Fortaleza 60455-900, Brazil.

Entropy (Basel) ; 20(3)2018 Feb 25.

Article em En | MEDLINE | ID: mdl-33265238

RESUMO

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.

Palavras-chave

exponential arcs; information geometry; mixture arcs; statistical manifold; φ-family

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Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Revista: Entropy (Basel) Ano de publicação: 2018 Tipo de documento: Article País de afiliação: Brasil País de publicação: Suíça

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