On the increasing convex order of relative spacings of order statistics

  1. A. Castaño-Martínez
  2. G. Pigueiras Voces
  3. M.A. Sordo
Proceedings:
XXXIX Congreso Nacional de Estadística e Investigación Operativa. XIII Jornadas de Estadística Pública. SEIO 2022

Publisher: Departamento de Estadística. Universidad de Granada

ISBN: 978-84-09-41628-8

Year of publication: 2022

Type: Conference paper

GOOGLE SCHOLAR

Abstract

Relative spacings are relative differences between order statistics. In this context, we extend previous results concerning the increasing convex order of relative spacings of two distributions from the case of consecutive spacings to general spacings. The sufficient conditions are given in terms of the expected proportional shortfall order. As an application, we compare relative deprivation within some parametric familiesof income distributions.