This note provides an unbiased estimator for the absolute S-Gini and an almost unbiased estimator for the relative S-Gini for integer parameter values. Simulations indicate that these estimators perform considerably better then the usual estimators, especially for small sample sizes. 1 The absolute and relative S-gini indices Assume that income is distributed according to a continuous and diffe...

Classic experiments on the distribution of ducks around separated food sources found consistency with the "ideal free" distribution in which the local population is proportional to the local supply rate. Motivated by this experiment and others, we examine the analogous problem in the microbial world: the distribution of chemotactic bacteria around multiple nearby food sources. In contrast to th...

This paper introduces a simple index that helps to assess the degree of aging or rejuvenation of repairable systems. The index ranges from -1 to 1. It is negative for the point processes with decreasing ROCOF and is positive for the point processes with increasing ROCOF. Index Terms aging, rejuvenation, homogeneity, non-homogeneity. ACRONYMS CDF cumulative distribution function CIF cumulative i...

Individual well-being is inherently a multidimensional concept. Any attempt to measure inequality of well-being should take this multidimensionality explicitly into account. In this paper we propose to measure well-being inequality by a multidimensional generalization of the Gini coe¢ cient. We follow a normative procedure and derive two Gini indices of well-being inequality from their underlyi...

The problem of missing data is a common feature in any study, and single imputation method often applied to deal with this problem. first contribution paper analyse the empirical performance some traditional methods when they are estimation Gini index, popular measure inequality used many studies. Various for constructing confidence intervals index also empirically evaluated. We consider severa...

This study aimed to evaluate inequalities in the geographical distribution of human and physical resources in the health sector of Kermanshah province, Islamic Republic of Iran. In a retrospective, cross-sectional study, data from the Statistical Centre of Iran were used to calculate inequality measures (Gini coefficient and index of dissimilarity) over the years 2005-11. The highest Gini coeff...

This paper introduces a new test for goodness of fit based on the Gini index which is the sum over all pairs, of the absolute differences of the observed spacings. We derive its exact and asymptotic distributions under the null hypothesis, after showing that it is distributionally equivalent to the sum of uniform observations on the unit interval. After a discussion of local powers of this and ...

The expression levels of SLC or ABC membrane transporter transcripts typically differ 100- to 10,000-fold between different tissues. The Gini coefficient characterizes such inequalities and here is used to describe the distribution of the expression of each transporter among different human tissues and cell lines. Many transporters exhibit extremely high Gini coefficients even for common substr...