The asymptotic behavior of elementary symmetric functions on a probability distribution

V. S. Kozyakin and A. V. Pokrovskii

International Journal of Stochastic Analysis, 2001, vol. 14, 1-12

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:476764

DOI: 10.1155/S1048953301000193

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