On the increasing convex order of relative spacings of order statistics

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

Editorial: Departamento de Estadística. Universidad de Granada

ISBN: 978-84-09-41628-8

Año de publicación: 2022

Tipo: Aportación congreso

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Resumen

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.