オハラ　アツミ   Atsumi Ohara   小原　敦美    所属   追手門学院大学  理工学部 数理・データサイエンス学科    職種   教授
言語種別	英語
発行・発表の年月	2015
形態種別	論文
査読	査読あり
標題	Duality in a maximum generalized entropy model
執筆形態	共著・編著（代表編著を除く）
掲載誌名	Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MaxEnt2014) (Ali Mohammad-Djafari and Frederic Barbaresco eds.)
掲載区分	国外
出版社・発行元	AMER INST PHYSICS
巻・号・頁	AIP proceedings, vol.1641,pp.297-304-304
著者・共著者	Shinto Eguchi,Osamu Komori and Atsumi Ohara
概要	This paper discusses a possible generalization for the maximum entropy principle. A class of generalized entropy is introduced by that of generator functions, in which the maximum generalized distribution model is explicitly derived including q-Gaussian distributions, Wigner semicircle distributions and Pareto distributions. We define a totally geodesic subspace in the total space of all probability density functions in a framework of information geometry. The model of maximum generalized entropy distributions is shown to be totally geodesic. The duality of the model and the estimation in the maximum generalized principle is elucidated to give intrinsic understandings from the point of information geometry.
DOI	10.1063/1.4905991
ISSN	0094-243X