@misc{10498/24962, year = {2021}, month = {3}, url = {http://hdl.handle.net/10498/24962}, 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 families of income distributions.}, publisher = {MDPI}, keywords = {order statistics}, keywords = {expected proportional shortfall order}, keywords = {relative spacings}, keywords = {deprivation}, title = {On the Increasing Convex Order of Relative Spacings of Order Statistics}, doi = {10.3390/math9060618}, author = {Castaño Martínez, Antonia and Pigueiras Voces, Gema and Sordo Díaz, Miguel Ángel}, }