Relative Distributions

Relative Increments of Pearson Distributions

This paper is a direct continuation of [6] whose results are applied to Pearson distributions, particularly to normal, gamma, beta of the rst kind, Pareto of the second kind, chi-square and other speci c distributions. Acta Mathematica Academiae Paedagogicae Ny regyh aziensis 15 (1999), 45{54 www.bgytf.hu/~amapn In this paper we investigate the hazard rate and relative increment functions of Pe...

On Relative Skewness for Multivariate Distributions

In this paper, we provide a new concept of relative skewness among multivariate distributions, extending to the multivariate case a similar concept in the univariate case. In this case, a random variable Y is said to be more right skewed than a random variable X if there exits an increasing convex transformation which maps X onto Y . Given two random vectors X and Y and an appropriate transform...

Measuring group disadvantage with indices based on relative distributions

A long literature on between-group inequality in Social Science and Statistics has developed statistical tools (indices and tests) in order to measure the extent of inequality of opportunity or, more narrowly, gender inequality. In this paper I propose a family of new indices which measure and are sensitive to inequality between pairs of groups whenever that inequality implies disadvantage for ...

Measuring relative equality of concentration between different income/wealth distributions

In a recent paper Burrell (2005a) introduced two new measures both based on the Gini mean difference for measuring the similarity of concentration of productivity between different informetric distributions. The first was derived from Dagum’s (1987) notion of relative economic affluence (REA); the second – in some ways analogous to the correlation coefficient – is a new approach giving the so-c...

Legendrian distributions with applications to relative Poincar series