One-sided limit theorems for sums of multidimensional indexed random variables
type: Item
instance of: scholarly article
title: One-sided limit theorems for sums of multidimensional indexed random variables
zbMATH Open document ID: 0759.60029
DOI: 10.1007/BF01058726
author: S. Singh
published in: Journal of Theoretical Probability
publication date: 1993-01-17T00:00:00Z
review text: Let \(\{X_ n, n\in Z^ d_ +\}\) be independent random elements in a Rademacher type \(p\) space and \(\{a_ n, n\in Z^ d_ +\}\) be a sequence of constants. The author proves the general weak law of large numbers and generalized laws of the iterated logarithm for weighted partial sums of the form \(\sum_{| n|\leq N}a_ nX_ n\).
Mathematics Subject Classification ID: 60F17
zbMATH DE Number: 96938
zbMATH Keywords: almost sure convergence
zbMATH Keywords: slow variations
zbMATH Keywords: weak law of large numbers
zbMATH Keywords: iterated logarithm for weighted partial sums
MaRDI profile type: Publication
cites work: Generalized one-sided laws of the iterated logarithm for random variables barely with or without finite mean
cites work: Q4035830
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cites work: A weak law for normed weighted sums of random elements in Rademacher type \(p\) Banach spaces
cites work: Q4040465
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cites work: Limit points associated with generalized iterated logarithm laws
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cites work: Sums of independent random variables on partially ordered sets
full work available at URL: https://doi.org/10.1007/bf01058726
OpenAlex ID: W1989770277
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description: scientific article; zbMATH DE number 96938