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140218s2011 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9780387682761 |
|
978-0-387-68276-1 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA276-280 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
519.5 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
New York, NY : |
| -- |
Springer New York : |
| -- |
Imprint: Springer, |
| -- |
2011. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Marshall, Albert W. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Inequalities: Theory of Majorization and Its Applications |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Albert W. Marshall, Ingram Olkin, Barry C. Arnold. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
Second. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XXVIII, 909 p. 60 illus. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Springer Series in Statistics, |
| International Standard Serial Number |
0172-7397 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Introduction -- Doubly Stochastic Matrices -- Schur-Convex Functions -- Equivalent Conditions for Majorization -- Preservation and Generation of Majorization -- Rearrangements and Majorization -- Combinatorial Analysis -- Geometric Inequalities -- Matrix Theory -- Numerical Analysis -- Stochastic Majorizations -- Probabilistic, Statistical, and Other Applications -- Additional Statistical Applications -- Orderings Extending Majorization -- Multivariate Majorization -- Convex Functions and Some Classical Inequalities -- Stochastic Ordering -- Total Positivity -- Matrix Factorizations, Compounds, Direct Products, and M-Matrices -- Extremal Representations of Matrix Functions. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This book’s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. … This work is a valuable resource!” (Mathematical Reviews). “The authors … present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization.” (Siam Review). “The appearance of … Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines–probability, geometry, statistics, operations research, etc.–this work was a revelation to those of us who had been trying to make sense of his own corner of this material.” (Linear Algebra and its Applications). This greatly expanded new edition includes recent research on stochastic, multivariate and group majorization, Lorenz order, and applications in physics and chemistry, in economics and political science, in matrix inequalities, and in probability and statistics. The reference list has almost doubled. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Statistics. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical statistics. |
|
|---|
| Topical term or geographic name as entry element |
Statistics. |
|
|---|
| Topical term or geographic name as entry element |
Statistical Theory and Methods. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Olkin, Ingram. |
| Relator term |
author. |
|
|---|
| Personal name |
Arnold, Barry C. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9780387400877 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-387-68276-1 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
