Symmetric Functionals on Random Matrices and Random Matchings Problems / Edition 1

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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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"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 theory and statistics." (Neville Weber, Zentalblatt MATH, Vol. 1147, 2008)

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Product Details

Table of Contents

Basic Concepts.- Properties of P-statistics.- Asymptotics for Random Permanents.- Weak Convergence of Permanent Processes.- Weak Convergence of P-statistics.- Permanent Designs and Related Topics.- Products of Partial Sums and Wishart Determinants.

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