Open AccessA Unified General Class of Interdistributional Income Inequality Measures Based on Weighted Incomplete Moments
Author(s) -
Fahad Aldossary,
T. H. M. Abouelmagd,
A. A. Ahmed
Publication year - 2021
Publication title -
international journal of statistics and probability
Language(s) - English
Resource type - Journals
eISSN - 1927-7040
pISSN - 1927-7032
DOI - 10.5539/ijsp.v10n6p22
Subject(s) - mathematics , inequality , class (philosophy) , income distribution , econometrics , index (typography) , economic inequality , value (mathematics) , mathematical economics , measure (data warehouse) , distribution (mathematics) , lorenz curve , statistics , gini coefficient , computer science , mathematical analysis , database , artificial intelligence , world wide web
Many authors have proposed measures for between groups income inequalities. Mostly, these measures are based on functional of the income distribution. Others are based on Gini index, measures of entropies or additive functions. Butler and McDonald (1987) developed a class of between groups income inequality measures based on incomplete moments and showed its applicability. In this article, A unified class of interdistributional inequality measures are introduced. Most of previous measures are special cases from the new class, such as Butler-McDonald measures. These new measures are estimated and studied. Also, the new general class is based on probability weighted moments which can be given any values as the upper value. A real data application is presented to compare among all these measures and show the benefits of the new measures.