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One-sided limit theorems for sums of multidimensional indexed random variables

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Publication:1200246
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DOI10.1007/BF01058726zbMath0759.60029OpenAlexW1989770277MaRDI QIDQ1200246

S. Singh

Publication date: 17 January 1993

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01058726


zbMATH Keywords

almost sure convergenceweak law of large numbersiterated logarithm for weighted partial sumsslow variations


Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17)


Related Items

Stability of sums of independent random variables ⋮ A weak law for randomly stopped sums of multidlmensionally indexed random variables



Cites Work

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  • Generalized one-sided laws of the iterated logarithm for random variables barely with or without finite mean
  • Limit points associated with generalized iterated logarithm laws
  • A weak law for normed weighted sums of random elements in Rademacher type \(p\) Banach spaces
  • Sums of independent random variables on partially ordered sets
  • Iterated logarithm laws for asymmetric random variables barely with or without finite mean
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