On the Increasing Convex Order of Relative Spacings of Order Statistics

On the Increasing Convex Order of Relative Spacings of Order Statistics

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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 DISPLAY LADDER distributions from the case of consecutive WOVEN BASKET 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.