This paper shows that linear functions of order statistics (L-statistics) based on exchangeble random samples have a Fundamental Skew distribution (Arellano-Valle and Genton, 2003). The paper also examines the exact distribution of L.statistics when the sampled population is Skew-Normal. Exact...

The Gini concentration ratio has been extensively used in the study of "inequality" of distributions. According to Chakrabarthy (1982), "the Lorenz curve and the Gini index have remained the most popular and powerful tool in the analyses of size distribution of income". A major statistical...