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 lightemupsequences.com 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 berness white sneakers parametric families of income distributions.