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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 Theil index ： ウィキペディア英語版 Theil index The Theil index is a statistic used to measure economic inequality.〔(Introduction to the Theil index from the University of Texas )〕 It has also been used to measure the lack of racial diversity.〔http://geodacenter.asu.edu/node/236〕 The basic Theil index TT is the same as redundancy in information theory which is the maximum possible entropy of the data minus the observed entropy. It is a special case of the generalized entropy index. It can be viewed as a measure of redundancy, lack of diversity, isolation, segregation, inequality, non-randomness, and compressibility. It was proposed by econometrician Henri Theil at the Erasmus University Rotterdam. ==Formula== The Theil index is〔 : $$ T_T=T_=\frac\sum_^N \left( \frac \right) where $\{\backslash overline\{x\}\}$ is the mean of $x$. If everyone has the same income, then TT gives 0 which, counter-intuitively, is when the population's income has maximum disorder. If one person has all the income, then TT gives the result $\backslash ln\; N$, which is maximum order. Dividing TT by $\backslash ln\; N$ can normalize the equation to range from 0 to 1. The Theil index measures an entropic "distance" the population is away from the "ideal" egalitarian state of everyone having the same income. The numerical result is in terms of negative entropy so that a higher number indicates more order that is further away from the "ideal" of maximum disorder. Formulating the index to represent negative entropy instead of entropy allows it to be a measure of inequality rather than equality. 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「Theil index」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.