The asymptotic behavior of elementary symmetric functions on a probability distribution

Kozyakin, V. S.; Pokrovskii, A. V.

doi:https://doi.org/10.1155/S1048953301000193

International Journal of Stochastic Analysis

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Volume 14 |Article ID 476764 | https://doi.org/10.1155/S1048953301000193

V. S. Kozyakin, A. V. Pokrovskii, "The asymptotic behavior of elementary symmetric functions on a probability distribution", International Journal of Stochastic Analysis, vol. 14, Article ID 476764, 12 pages, 2001. https://doi.org/10.1155/S1048953301000193

The asymptotic behavior of elementary symmetric functions on a probability distribution

V. S. Kozyakin¹ and A. V. Pokrovskii^2,3

¹Institute for Information Transmission Problems, 19 Bolshoi Karetny Lane, Russia

²National University of Ireland, Institute for Nonlinear Science, Department of Physics, University College, Ireland

³Institute of Information Transmission Problems, Russian Academy of Science, 19 Bolshoi Karetny Lane, Russia

Received01 Jul 1999

Revised01 Aug 2000

Abstract

The problem on asymptotic of the value π(m,n)=m!σm(p(1,n),p(2,n),…,p(n,n)) is considered, where σm(x1,x2,…,xn) is the mth elementary symmetric function of n variables. The result is interpreted in the context of nonequiprobable random mappings theory.

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Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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