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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Bhattacharyya angle ： ウィキペディア英語版 Bhattacharyya angle In statistics, Bhattacharyya angle, also called statistical angle, is a measure of distance between two probability measures defined on a finite probability space. It is defined as : $\backslash Delta(p,q)\; =\; \backslash arccos\; \backslash operatorname(p,q)$ where ''p''''i'', ''q''''i'' are the probabilities assigned to the point ''i'', for ''i'' = 1, ..., ''n'', and : $\backslash operatorname(p,q)\; =\; \backslash sum\_^n\; \backslash sqrt$ is the Bhattacharya coefficient. The Bhattacharya distance is the geodesic distance in the orthant of the sphere $S^$ obtained by projecting the probability simplex on the sphere by the transformation $p\_i\; \backslash mapsto\; \backslash sqrt,\backslash \; i=1,\backslash ldots,\; n$. This distance is compatible with Fisher metric. It is also related to Bures distance and fidelity between quantum states as for two diagonal states one has : $\backslash Delta(\backslash rho,\backslash sigma)\; =\; \backslash arccos\; \backslash sqrt.$ == See also == * Bhattacharyya distance * Hellinger distance 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Bhattacharyya angle」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.