Inequality, Welfare, and Order Statistics

Abstract

Geometric interpretation from the Lorenz curve: Gini: w(x)=2F(x) o π(p)=2 Generalized Gini π(p)=n (n-1)(1-p) n-2 Aaberge (2000) π(p)=n p n-2 , n≥2

On the Mean and Variance of a Function of Order Statistics.

“…Bairamov et al (2001) investigated the finite sample and asymptotic distributions of the statistics based on order statistics as well as their use in statistical inference. The concept of order statistics is common in many areas as it makes use of data dealing with natural problems related to sciences and life sciences (David&Nagaraja, 2004;Menzel &Morganti, 2013;Balakrishnan, & Cohen,2014;Parrado-Gallardo et al, 2014;Lück& Wolf, 2016). Likewise, in empirical economic studies, the size of parameters across different populations is often compared to measure for instance relative growth rates between states, wage discriminations between firms and technical efficiencies amongst production units which involves handling of huge numbers of populations (Horrace, 2000;Kampelmann&Rycx, 2016;Grinza et al, 2018).…”