The asymptotic behavior of elementary symmetric functions on a probability distribution

The asymptotic behavior of elementary symmetric functions on a probability distribution

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Article ID: iaor2003343
Country: United States
Volume: 14
Issue: 3
Start Page Number: 237
End Page Number: 248
Publication Date: Jul 2001
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors: ,
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 non-equiprobable random mappings theory.

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