Symmetric Functionals on Random Matrices and Random Matchings Problems

• Main Authors: Rempala, Grzegorz A. (Author), Wesolowski, Jacek (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2008.
• Series: The IMA Volumes in Mathematics and its Applications, 147
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Statistics.; Electrical engineering.; Applications of Mathematics.; Statistical Theory and Methods.; Communications Engineering, Networks.

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...

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.