Symmetric functionals on random matrices and random matchings problems
著者
書誌事項
Symmetric functionals on random matrices and random matchings problems
（The IMA volumes in mathematics and its applications, v. 147）
Springer, c2008
- : pbk
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内容説明・目次
内容説明
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.
目次
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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