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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 generalized entropy index ： ウィキペディア英語版 generalized entropy index The generalized entropy index has been proposed as a measure of income inequality in a population. It is derived from information theory as a measure of redundancy in data. In information theory a measure of redundancy can be interpreted as non-randomness or data compression; thus this interpretation also applies to this index. In additional interpretation of the index is as biodiversity as entropy has also been proposed as a measure of diversity. == Formula == The formula for general entropy for real values of $\backslash alpha$ is: :$GE(\backslash alpha)\; =\backslash begin$ \frac\sum_^N\left(Atkinson index with $\backslash epsilon=1-\backslash alpha$ for , assuming that the social welfare function is the natural logarithm. The transformation is $A=1-e^$. Moreover, it is the unique class of inequality measures that has the properties of the Atkinson index and which also is additive decomposable. Many popular indices, including Gini index, do not satisfy additive decomposability.〔 Note that the generalized entropy index has several income inequality metrics as special cases. For example, GE(0) is the mean log deviation, GE(1) is the Theil index, and GE(2) is half the squared coefficient of variation. 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「generalized entropy 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.