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.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Lecture Notes in Statistics, 43 |
Release date: |
November 1987 |
First published: |
1987 |
Authors: |
Barry C. Arnold
|
Dimensions: |
244 x 170 x 7mm (L x W x T) |
Format: |
Paperback
|
Pages: |
122 |
Edition: |
1987 ed. |
ISBN-13: |
978-0-387-96592-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Applied mathematics >
General
|
LSN: |
0-387-96592-0 |
Barcode: |
9780387965925 |
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