Random symmetric polynomials
type: Item
instance of: scholarly article
title: Random symmetric polynomials
zbMATH Open document ID: 0667.60043
DOI: 10.1007/BF01093827
author: V. M. Zolotarev
published in: Journal of Soviet Mathematics
publication date: 1987-01-01T00:00:00Z
review text: [For the entire collection see Zbl 0626.00025.] Let \(\{Q^{(n)}(x_ 1,...,x_ n)\}\) be a sequence of symmetric polynomials having a fixed degree equal to k. Let \(\{X_{n1},...,X_{nn}\}\), \(n\geq k\), be some sequence of series of random variables (r.v.). We form the sequence of r.v. \[ y_ n=Q^{(n)}(X_{n1},...,X_{nn}),\quad n\geq k. \] Limit theorems for the sequence \(y_ n\) under very general assumptions are obtained.
Mathematics Subject Classification ID: 60F99
zbMATH DE Number: 4092477
zbMATH Keywords: symmetric polynomials
zbMATH Keywords: Limit theorems
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4092477