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Symmetric Functionals on Random Matrices and Random Matchings Problems (The IMA Volumes in Mathematics and its Applications, 147) - Hardcover
Synopsis
This superb explication of a complex subject presents the current state of the art of the mathematical theory of symmetric functionals on random matrices. It emphasizes its connection with the statistical non-parametric estimation theory. The book provides a detailed description of the approach of symmetric function decompositions to the asymptotic theory of symmetric functionals, including the classical theory of U-statistics. It also presents applications of the theory.
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From the Back Cover
This book is drawn from the recent literature on the asymptotic behavior of random permanents and random matchings. In particular, the authors present an elegant connection between the problem of an asymptotic behavior for a certain family of functionals on random matrices and the asymptotic results in the classical theory of the so-called U-statistics -- objects of fundamental importance in the non-parametric statistical inference.
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Review
From the reviews:
"This monograph provides an account of recent research on questions related to asymptotics for random permanents and random matchings. ... Each chapter finishes with a brief section on bibliographic details. These sections place the work in context providing references to key papers in the area as well as other sources of background information. The text is accessible to graduate students with a basic background in probability...
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- PublisherSpringer
- Publication date2007
- ISBN 10 0387751459
- ISBN 13 9780387751450
- BindingHardcover
- LanguageEnglish
- Number of pages198
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Symmetric Functionals on Random Matrices and Random Matchings Problems (The IMA Volumes in Mathematics and its Applications, 147)
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Symmetric Functionals on Random Matrices and Random Matchings Problems.
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New York, NY, Springer Science+Business Media, LLC., 2008
ISBN 10: 0387751459
ISBN 13: 9780387751450
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