Bounded and compact laws of the logarithm for \(B\)-valued random variables

DOI10.1016/0304-4149(96)00067-1zbMath0909.60009OpenAlexW2087045735MaRDI QIDQ1272164

Publication date: 23 November 1998

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(96)00067-1

zbMATH Keywords

central limit theorem Gaussian randomization technique the laws of logarithm

Mathematics Subject Classification ID

Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (2)

A remark on LSL for weighted sums of i.i.d random elements ⋮ A law of the single logarithm for weighted sums of i.i.d. random elements

Cites Work

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Unnamed Item
Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables
Some limit theorems for empirical processes (with discussion)
A new proof of the Hartman-Wintner law of the iterated logarithm
Extreme values and the law of the iterated logarithm
Characterization of the law of the iterated logarithm in Banach spaces
Inequalities for B-valued random vectors with applications to the strong law of large numbers
Some results on the LIL in Banach space with applications to weighted empirical processes
Majorization, exponential inequalities and almost sure behavior of vector-valued random variables
The law of the iterated logarithm for independent random variables with multidimensional indices
An example concerning CLT and LIL in Banach space
A strong convergence theorem for Banach space valued random variables
Complete convergence and almost sure convergence of weighted sums of random variables
On the strong law of large numbers and the law of the logarithm for weighted sums of independent random variables with multidimensional indices
The law of the iterated logarithm for B-valued random variables with multidimensional indices
On the limit theorems for random variables with values in the spaces L p (2?p<?)
[https://portal.mardi4nfdi.de/wiki/Publication:4181018 Relation entre th�or�me central-limite et loi du logarithme it�r� dans les espaces de Banach]
On the law of the iterated logarithm for double sequences of random variables
Sums of independent Banach space valued random variables

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