The asymptotic behavior of elementary symmetric functions on a probability distribution. (2001)

• Record Type: Journal Article
• Authors: Kozyakin, V. S.; Pokrovskii, A. V.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 14:Number 3(2001)
• Page Start: 237
• Page End: 248
• Publication Date: 2001
• Subjects: random mappings -- chaotic numerics -- symmetric functions; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953301000193
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : The problem on asymptotic of the value π ( m, n ) = m ! σ m ( p ( 1, n ), p ( 2, n ), …, p ( n, n ) ) is considered, where σ m ( x 1, x 2, …, x n ) is the m th elementary symmetric function of n variables. The result is interpreted in the context of nonequiprobable random mappings theory.