Symmetric Functionals on Random Matrices and Random Matchings Problems (eBook, PDF)

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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 th...

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