Limiting distributions of random symmetric polynomials of fifth degree
type: Item
instance of: scholarly article
title: Limiting distributions of random symmetric polynomials of fifth degree
zbMATH Open document ID: 0732.60030
DOI: 10.1007/BF01095605
author: L. Seidl'
published in: Journal of Soviet Mathematics
publication date: 1989-01-01T00:00:00Z
review text: Denote by \(H_ n (n=1,2,...)\) a sequence of random polynomials of order k (k is any fixed positive integer greater than 1) of n i.i.d. r.v.s. Under some conditions the paper describes the class of limiting distributions of linear transforms of \(H_ n\) in case \(k=5\).
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 4211162
zbMATH Keywords: U-statistics
zbMATH Keywords: random polynomials
zbMATH Keywords: limiting distributions of linear transforms
MaRDI profile type: Publication
cites work: Approximation Theorems of Mathematical Statistics
cites work: Q3680050
cites work: Asymptotic distribution of symmetric statistics
cites work: Symmetric statistics, Poisson point processes, and multiple Wiener integrals
cites work: On the elementary symmetric polynomials of independent random variables
cites work: Asymptotic behaviour of symmetric polynomial statistics
cites work: A limit theorem for elementary symmetric polynomials of independent random variables
cites work: Q3761378
cites work: Symmetric polynomials of random variables attracted to an infinitely divisible law
full work available at URL: https://doi.org/10.1007/bf01095605
OpenAlex ID: W1974284496
description: scientific article; zbMATH DE number 4211162