Relative spacings are relative differences between order statistics. In this context, we extend previous results concerning the increasing convex of two distributions from case consecutive to general spacings. The sufficient conditions given in terms expected proportional shortfall order. As an application, compare deprivation within some parametric families income distributions.

We have space here to give only the briefest outline of the processes we are trying to model; the interested reader should consult one of the standard textS2. The heart consists of four chambers: two atria and two ventricles . Electrically, however, the two atria can be considered as one, and we shall refer only to the atrium ; likewise for the two ventricles. In essence the function of the car...

In this paper, we introduce the idea of relative order and type of entire functions represented by Banach valued Dirichlet series of two complex variables to generalize some earlier results. Proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by Dirichlet series is the same as that of i...