General theorems on ''Little-\(\mathcal O\)'' rates of closeness of two weighted sums of independent Hilbert space valued random variables with applications
type: Item
instance of: scholarly article
title: General theorems on ''Little-\(\mathcal O\)'' rates of closeness of two weighted sums of independent Hilbert space valued random variables with applications
zbMATH Open document ID: 0428.60028
DOI: 10.1016/0047-259X(79)90054-X
author: L. Hahn
author: M. Th. Roeckerath
author: Paul L. Butzer
published in: Journal of Multivariate Analysis
publication date: 1979-01-01T00:00:00Z
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 60B12
zbMATH DE Number: 3667694
zbMATH Keywords: rates of weak convergence
zbMATH Keywords: central limit theorem
zbMATH Keywords: stable limit theorem
zbMATH Keywords: weak law of large numbers
zbMATH Keywords: Hilbert space valued random variables
MaRDI profile type: Publication
cites work: Q5609800
cites work: Q5560061
cites work: Q4772242
cites work: On the rate of approximation in the central limit theorem
cites work: General theorems on rates of convergence in distribution of random variables II. Applications to the stable limit laws and weak law of large numbers
cites work: Q3316290
cites work: Q5512461
cites work: Q4130130
cites work: Q4112679
cites work: Harmonic analysis on Hilbert space
cites work: Q3244654
cites work: Q4130691
cites work: Q4189888
cites work: On stable distributions in Hilbert space
cites work: A representation theorem for symmetric stable processes and stable measures on H
cites work: Domains of attraction of stable measures on a Hilbert space
cites work: Berry-Esseen estimates in Hilbert space and an application to the law of the iterated logarithm
cites work: Some results of probability measures on linear topological vector spaces with an application to Strassen's log log law
cites work: Stable probability measures on Banach spaces
cites work: Q5533878
cites work: Q4088029
cites work: Q4124022
cites work: Q4124021
cites work: Q4151445
cites work: Q4151444
cites work: Some Structure Theorems for the Symmetric Stable Laws
cites work: Stochastic convergence of weighted sums in normed linear spaces
cites work: Q5341300
cites work: Q5622760
cites work: On the Closeness of the Distributions of Two Sums of Independent Random Variables
description: scientific article; zbMATH DE number 3667694