Titlebook: Majorization and the Lorenz Order: A Brief Introduction; Barry C. Arnold Book 1987 Springer-Verlag Berlin Heidelberg 1987 DEX.Star.design.

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Majorization in IRn,d who dealt with Z. (i.e. vectors of non-negative integers) already had identified the partial order defined in (1.1) (i.e. majorization). But he, when he needed to refer to it, merely called it “ordering.” Perhaps it took the insight of HLP to recognize that little of Muirhead’s work need necessari

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The Lorenz Order in the Space of Distribution Functions,e Lorenz curve, however, can be meaningfully used to compare arbitrary distributions rather than distributions concentrated on n points, as is the case with the majorization partial order. The Lorenz order can, thus, be thought of as a useful generalization of the majorization order. While extending

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Transformations and Their Effects,it a high degree of inequality (as indicated by their Lorenz curves) are generally considered to be undesirable. Consequently, there are frequent attempts to modify observed income distributions by means of intervention in the economic process. Taxation and welfare programs are obvious examples. Ess

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MAG

Some Related Orderings,closely related to the Lorenz ordering (Chapter 3). The first, *-ordering, is often easier to deal with than Lorenz ordering, and can sometimes be used to verify Lorenz ordering which it implies. The other group of partial orderings to be discussed are those known as stochastic dominance of degree k

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MUTED

u bestimmen. Aus diesem Grunde sind alle Einflüsse, die möglicherweise die Lungenfunktion im undefinierten Umfange beeinträchtigen, auszuschalten. Primärerkrankungen im Bereich des Respirationstraktes können ausgeschlossen werden, da es sich um junge, klinisch unauffällige Tiere handelt. Wie sich in

Peculate

Barry C. Arnoldu bestimmen. Aus diesem Grunde sind alle Einflüsse, die möglicherweise die Lungenfunktion im undefinierten Umfange beeinträchtigen, auszuschalten. Primärerkrankungen im Bereich des Respirationstraktes können ausgeschlossen werden, da es sich um junge, klinisch unauffällige Tiere handelt. Wie sich in

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