James E. Foster and Artyom A. Shneyerov,A General Class of Additively Decomposable Inequality Measures,Economic Theory, Vol. 14, No. 1 (Jul., 1999), pp. 89-111
Summary. This paper presents and characterizes a two-parameter class of in equality measures that contains the generalized entropy measures, the variance of logarithms, the path independent measures of Foster and Shneyerov (1999) and several new classes of measures. The key axiom is a generalized form of additive decomposability which defines the within-group and between-group in equality terms using a generalized mean in place of the arithmetic mean. Our characterization result is proved without invoking any regularity assumption (such as continuity) on the functional form of the inequality measure; instead, it relies on a minimal form of the transfer principle - or consistency with the Lorenz criterion - over two-person distributions.
A General Class of Additively Decomposable Inequality Measures:
1)一类普遍性的加总可分不均度指标
2)一类一般性的加总可分不均度指标
3)一类具有普遍性的加总可分不均度指标
4)具有普遍性的一类加总可分不均度指标
5)介绍一类具有普遍性的加总可分不均度指标
6)介绍一般性的一类加总可分不均度指标
译者注解:翻译难点在于“a general class”,特别是这个general,它修饰的其实不是class,而是measures。
A General Class of Additively Decomposable Inequality Measures:
1)一类普遍性的加总可分不均度指标
2)一类一般性的加总可分不均度指标
3)一类具有普遍性的加总可分不均度指标
4)具有普遍性的一类加总可分不均度指标
5)介绍一类具有普遍性的加总可分不均度指标
6)介绍一般性的一类加总可分不均度指标
译者注解:翻译难点在于“a general class”,特别是这个general,它修饰的其实不是class,而是measures。
James E. Foster and Artyom A. Shneyerov,A General Class of Additively Decomposable Inequality Measures,Economic Theory, Vol. 14, No. 1 (Jul., 1999), pp. 89-111
Summary. This paper presents and characterizes a two-parameter class of in equality measures that contains the generalized entropy measures, the variance of logarithms, the path independent measures of Foster and Shneyerov (1999) and several new classes of measures. The key axiom is a generalized form of additive decomposability which defines the within-group and between-group in equality terms using a generalized mean in place of the arithmetic mean. Our characterization result is proved without invoking any regularity assumption (such as continuity) on the functional form of the inequality measure; instead, it relies on a minimal form of the transfer principle - or consistency with the Lorenz criterion - over two-person distributions.