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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Majorization and the Lorenz Order: A Brief Introduction

Majorization and the Lorenz Order: A Brief Introduction

Arnold, Barry C.

Paperback

Series: Lecture Notes in Statistics, Book 43

General MathematicsProbability & Statistics

ISBN10: 0387965920
ISBN13: 9780387965925
Publisher: Springer Nature
Published: Nov 5 1987
Pages: 122
Weight: 0.49
Height: 0.28 Width: 6.69 Depth: 9.61
Language: English
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 job of typing the manu- script, and patiently endured requests for innumerable modifications.

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