Limit theorem for random symmetric functions
type: Item
instance of: scholarly article
title: Limit theorem for random symmetric functions
zbMATH Open document ID: 0936.60018
DOI: 10.1007/BF02362285
published in: Journal of Mathematical Sciences (New York)
publication date: 1998-11-24T00:00:00Z
review text: Limit theorems for \(U\)- and \(V\)-statistics determined by generalized polynomial kernel functions are proved employing limit distributions of empirical power processes for independent triangular arrays of random variables. Under some additional conditions the limit distributions are discussed in more detail. The one-sample and multi-sample cases are considered.
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60F17
zbMATH DE Number: 1213221
zbMATH Keywords: limit theorems for \(U\)- and \(V\)-statistics
zbMATH Keywords: empirical power processes
author: György Michaletzky
author: Laszlo Szeidl
reviewed by: Nijolė Kalinauskaitė
MaRDI profile type: Publication
cites work: Note on conditions for weak convergence of von Mises' differentiable statistical functions
cites work: Symmetric statistics, Poisson point processes, and multiple Wiener integrals
cites work: Q5829358
cites work: Asymptotic distribution of symmetric statistics
cites work: Approximation Theorems of Mathematical Statistics
cites work: On Limit Distributions of Random Symmetric Polynomials
cites work: On the limit distributions of multi-sample von Mises functionals with variable polynomial kernels
cites work: Q4314093
full work available at URL: https://doi.org/10.1007/bf02362285
OpenAlex ID: W2033196203
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description: scientific article; zbMATH DE number 1213221