Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying "theory of inequalities." For certain kinds of inequalities, the notion of majorization leads to such a theory that is sometimes extremely useful and powerful for deriving inequalities. Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations. Anyone wishing to employ majorization as a tool in applications can make use of the theorems; for the most part, their statements are easily understood.

Inequalities: Theory of Majorization and Its Applications (Volume 143) (Mathematics in Science and Engineering, Volume 143)

Science & Math

Olkin, Ingram

Marshall, Albert W.

Mathematics

Academic Press

This book is devoted to the study of univariate distributions appropriate for the analyses of data known to be nonnegative. The book includes much material from reliability theory in engineering and survival analysis in medicine.

Life Distributions: Structure of Nonparametric, Semiparametric, and Parametric Families (Springer Series in Statistics)

Springer

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.

Inequalities: Theory of Majorization and Its Applications (Springer Series in Statistics)

Arnold, Barry C.

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.

See the best price to sell, buy, or rent books by Marshall, Albert W.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Marshall, Albert W.

See the best price to sell, buy, or rent books by Marshall, Albert W.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Inequalities: Theory of Majorization and Its Applications (Volume 143) (Mathematics in Science and Engineering, Volume 143)

Life Distributions: Structure of Nonparametric, Semiparametric, and Parametric Families (Springer Series in Statistics)

Inequalities: Theory of Majorization and Its Applications (Springer Series in Statistics)

Life Distributions: Structure of Nonparametric, Semiparametric, and Parametric Families (Springer Series in Statistics)

Inequalities: Theory of Majorization and Its Applications (Springer Series in Statistics)