To take into account both ex ante and ex post inequality considerations, one has to deal with inequality and uncertainty simultaneously. Under certainty, much of the literature has focused on ``comonotonically linear'' indices: functionals that are linear on cones of income profiles that agree on the social ranking of the individuals. This family generalizes both the Gini index and the egalitar...

The Gini index is a summary statistic that measures how equitably a resource is distributed in a population; income is a primary example. In addition to a self-contained presentation of the Gini index, we give two equivalent ways to interpret this summary statistic: first in terms of the percentile level of the person who earns the average dollar, and second in terms of how the lower of two ran...

Questions of healthcare inequities have been of continuing concern to health researchers, planners, and policymakers. The answers to such questions can be difficult to interpret, but deeply affect policy formulation, resource allocation, and our perceptions of the fairness and compassion inherent in the institutions of government and society as a whole. This paper describes the data warehouse i...

The distribution of income is an aspect that must be addressed by the central and sectional governments nations due to its importance in search for equity society. Precisely, Gini method main analytical tool measures concentration inhabitants a region over period time. In this regard, 2017 Ecuador managed reduce index better wealth, however, from Covid-19 pandemic economic social inequalities p...

Problem statement: In this study, the inequality of apnea rates during sleep was investigated. Approach: This study used a database comprising 13 patients with apnea problems. The data was extracted from the MIT-BIH database. The Lorenz curve and Gini index were used to determine the inequality of apnea rates. In order to test for cluster, random or regular patterns of apnea, an index of runs w...

Although the Gini coefficient is an ideal measure of income inequality, it may be applied to measure the aging inequality in a society. In this paper, an attempt has been made to develop alternative measures of aging inequality based on the Gini index. The study uses the secondary population data of Asian countries collected from the international data base, US census Bureau. From the analysis ...

The aim of this paper is to present an axiomatization of a generalization of Shannon’s entropy starting from partitions of finite sets. The proposed axiomatization yields as special cases the Havrda-Charvat entropy, and thus, provides axiomatizations for the Shannon entropy, the Gini index, and for other types of entropy used in classification and data mining. Keywords—Shannon entropy, Gini ind...

Sparsity is good. We like sparsity. We can make signals more sparse by transforming them. This paper proposes a novel, two-parameter method for designing a stable wavelet basis. Our goal is to determine a basis that represents a given signal as sparsely as possible. We choose the Gini index as a measure of sparsity and sparsify a signal by iteratively lifting the wavelet basis and at each step ...