A Modified Skewness Measure for Testing Asymmetry

A general measure of skewness

An Improved Skewness Measure

Skewness is an important property of a population. Although many measures have been proposed there is no consensus on what should be used in practice. We propose a new measure which is appropriate when the direction of the skewness is known a priori. It is simple to interpret and easy to estimate.

A modified Kakwani measure for health inequality

We propose simple modifications for the Kakwani tax progressivity measure that make it suitable for evaluating access inequality for medical services. Our modification is to measure inequality using the ratio of the concentration index to the Gini coefficient instead of the difference between them. We also propose a measure using the Gini coefficient or concentration index of consumption expend...

Portfolio Performance Evaluation in a Modified Mean-Variance-Skewness Framework with Negative Data

   The present study is an attempt toward evaluating the performance of portfolios using mean-variance-skewness model with negative data. Mean-variance non-linear framework and mean-variance-skewness non- linear framework had been proposed based on Data Envelopment Analysis, which the variance of the assets had been used as an input to the DEA and expected return and skewness were the output. C...

A Measure of Asymmetry for Domains of Constant Width

We introduce for convex domains of constant width a measure of asymmetry and show that the most asymmetric domains are Reuleaux triangles. Measures of (central) symmetry, or, as we prefer, asymmetry for convex bodies have been extensively investigated, especially with respect to determining the extremal bodies. A survey of results of this kind (up to 1963) has been published by Grünbaum [4]. In...