A. Castaño-Martínez, G. Pigueiras Voces, M. Á. Sordo
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 families of income distributions.
Keywords: order statistics; expected proportional shortfall order; relative spacings; increasing convex order
Scheduled
GT12 Stochastic Orders and their Applications I
June 8, 2022 12:40 PM
A22