Generalized Gin1 Inequality Indices
نویسنده
چکیده
When incomes are ranked in descending order the social-evaluation function corresponding to the Gini relative inequality index can be written as a linear function with the weights being the odd numbers in increasing order. We generalize this function by allowing the weights to be an arbitrary non-decreasing sequence of numbers. This results in a class of generalized Gini relative inequality indices and a class of generalized Gini absolute inequality indices. An axiomatic characterization of the latter class is also provided.
منابع مشابه
The binomial Gini inequality indices and the binomial decomposition of welfare functions
In the context of Social Welfare and Choquet integration, we briefly review, on the one hand, the generalized Gini welfare functions and inequality indices for populations of n ≥ 2 individuals, and on the other hand, the Möbius representation framework for Choquet integration, particularly in the case of k-additive symmetric capacities. We recall the binomial decomposition of OWA functions due ...
متن کاملGlucose and ethylene signal transduction crosstalk revealed by an Arabidopsis glucose-insensitive mutant.
Glucose is an essential signaling molecule that controls plant development and gene expression through largely unknown mechanisms. To initiate the dissection of the glucose signal transduction pathway in plants by using a genetic approach, we have identified an Arabidopsis mutant, gin1 (glucose-insensitive), in which glucose repression of cotyledon greening and expansion, shoot development, flo...
متن کاملStatistical inference for testing inequality indices with dependent samples
This paper develops asymptotically distribution-free inference for testing inequality indices with dependent samples. It considers the interpolated Gini coe$cient and the generalized entropy class, which includes several commonly used inequality indices. We "rst establish inference tests for changes in inequality indices with completely dependent samples (i.e., matched pairs) and then generaliz...
متن کاملThe Normative Approach to the Measurement of Multidimensional Inequality
This article provides an introduction to the normative approach to inequality measurement. Multivariate generalizations of the procedures used to construct univariate inequality indices from social evaluation orderings are described. Axiomatizations of multivariate Atkinson, Kolm– Pollak, and generalized Gini indices are discussed. Maasoumi’s [Econometrica (1986)] two-stage procedure for constr...
متن کاملOn generalized Hermite-Hadamard inequality for generalized convex function
In this paper, a new inequality for generalized convex functions which is related to the left side of generalized Hermite-Hadamard type inequality is obtained. Some applications for some generalized special means are also given.
متن کامل