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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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發(fā)表于 2025-3-21 19:52:40 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Majorization and the Lorenz Order: A Brief Introduction
編輯Barry C. Arnold
視頻videohttp://file.papertrans.cn/622/621583/621583.mp4
叢書名稱Lecture Notes in Statistics
圖書封面Titlebook: Majorization and the Lorenz Order: A Brief Introduction;  Barry C. Arnold Book 1987 Springer-Verlag Berlin Heidelberg 1987 DEX.Star.design.
描述My interest in majorization was first spurred by Ingram aIkin‘s proclivity for finding Schur convex functions lurking in the problem section of every issue of the American Mathematical Monthly. Later my interest in income inequality led me again to try and "really" understand Hardy, Littlewood and Polya‘ s contributions to the majori- zation literature. I have found the income distribution context to be quite convenient for discussion of inequality orderings. The pre- sent set of notes is designed for a one quarter course introducing majorization and the Lorenz order. The inequality principles of Dalton, especially the transfer or Robin Hood principle, are given appropriate prominence. Initial versions of these notes were used in graduate statistics classes taught at the Colegio de Postgraduados, Chapingo, Mexico and the University of California, Riverside. I am grateful to students in these classes for their constructive critical commentaries. My wife Carole made noble efforts to harness my free form writ- ing and punctuation. Occasionally I was unmoved by her requests for clarification. Time will probably prove her right in these instances also. Peggy Franklin did an outstanding
出版日期Book 1987
關(guān)鍵詞DEX; Star; design; distribution; equality; form; function; functions; inequality; interaction; matrices; median
版次1
doihttps://doi.org/10.1007/978-1-4615-7379-1
isbn_softcover978-0-387-96592-5
isbn_ebook978-1-4615-7379-1Series ISSN 0930-0325 Series E-ISSN 2197-7186
issn_series 0930-0325
copyrightSpringer-Verlag Berlin Heidelberg 1987
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沙發(fā)
發(fā)表于 2025-3-22 00:18:19 | 只看該作者
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
板凳
發(fā)表于 2025-3-22 01:05:56 | 只看該作者
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
地板
發(fā)表于 2025-3-22 07:33:01 | 只看該作者
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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發(fā)表于 2025-3-22 16:29:35 | 只看該作者
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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發(fā)表于 2025-3-22 20:35:29 | 只看該作者
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發(fā)表于 2025-3-22 23:52:20 | 只看該作者
u bestimmen. Aus diesem Grunde sind alle Einflüsse, die m?glicherweise die Lungenfunktion im undefinierten Umfange beeintr?chtigen, auszuschalten. Prim?rerkrankungen im Bereich des Respirationstraktes k?nnen ausgeschlossen werden, da es sich um junge, klinisch unauff?llige Tiere handelt. Wie sich in
9#
發(fā)表于 2025-3-23 04:47:30 | 只看該作者
Barry C. Arnoldu bestimmen. Aus diesem Grunde sind alle Einflüsse, die m?glicherweise die Lungenfunktion im undefinierten Umfange beeintr?chtigen, auszuschalten. Prim?rerkrankungen im Bereich des Respirationstraktes k?nnen ausgeschlossen werden, da es sich um junge, klinisch unauff?llige Tiere handelt. Wie sich in
10#
發(fā)表于 2025-3-23 09:11:23 | 只看該作者
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