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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 Credal set ： ウィキペディア英語版 Credal set A credal set is a set of probability distributions〔Levi, I. (1980). ''The Enterprise of Knowledge''. MIT Press, Cambridge, Massachusetts. 〕 or, equivalently, a set of probability measures. A credal set is often assumed or constructed to be a closed convex set. It is intended to express uncertainty or doubt about the probability model that should be used, or to convey the beliefs of a Bayesian agent about the possible states of the world.〔Cozman, F. (1999). (Theory of Sets of Probabilities (and related models) in a Nutshell ).〕 Let $X$ denote a categorical variable, $P(X)$ a probability mass function over $X$, and $K(X)$ a credal set over $X$. If $K(X)$ is convex, the credal set can be equivalently described by its extreme points $\backslash mathrm()$. The expectation for a function $f$ of $X$ with respect to the credal set $K(X)$ can be characterised only by its lower and upper bounds. For the lower bound, :$\backslash underline()=\backslash min\_\; \backslash sum\_x\; f(x)\; P(x).$ Notably, such an inference problem can be equivalently obtained by considering only the extreme points of the credal set. It is easy to see that a credal set over a Boolean variable cannot have more than two vertices, while no bounds can be provided for credal sets over variables with three or more values. ==See also== * imprecise probability * Dempster–Shafer theory * probability box * robust Bayes analysis * upper and lower probabilities 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「Credal set」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.