Kniha Symmetric Functionals on Random Matrices and Random Matchings Problems Grzegorz Rempala

Symmetric Functionals on Random Matrices and Random Matchings Problems

Jazyk: Angličtina
Väzba: Brožovaná
Vydavateľ: Springer, Berlin
Dostupnosť: Skladom u dodávateľa
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This superb explication of a complex subject presents the current state of the art of the mathematic...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
2010
Stránok
184
EAN
9781441925824
ISBN
1441925821
Enbook ID
05256949
Vydavateľ
Hmotnosť
311
Rozmery
156 x 234 x 10

Kompletný popis

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. 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.§This book is self-contained and accessible to any mathematics, statistics or engineering graduate student who has taken basic introductory courses in probability theory and mathematical statistics.§Dr.Grzegorz A. Rempala is a Professor of Statistics in the Department of Mathematics at the University of Louisville in Louisville, KY. Dr. Jacek Wesolowski is a Professor of Mathematics and Associate Dean for Research at the Faculty of Mathematics and Information Science, Warsaw University of Technology in Warsaw, Poland.§The volume is a result of the authors collaborative effort initiated at the IMA during the Institute's 2003/04 annual program on "Probability and Statistics in Complex Systems: Genomics, Networks, and Finance Engineering".

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