Laws of large numbers for ratios of uniform random variables

DOI10.1515/MATH-2015-0054zbMath1347.60020OpenAlexW2399084688WikidataQ114963142 ScholiaQ114963142MaRDI QIDQ317708

Mohammad Hasan, M. Dambrine

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2015-0054

zbMATH Keywords

strong law of large numbersalmost sure convergenceslow variationweak law of large numbersuniform random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (9)

Various limit theorems for ratios from the uniform distribution ⋮ On exact strong laws of large numbers for ratios of random variables and their applications ⋮ Some limit theorems for ratios of order statistics from uniform random variables ⋮ Exact Strong Laws for the Range ⋮ Exact weak laws of large numbers with applications to ratios of random variables ⋮ Strong laws for the largest ratio of adjacent order statistics ⋮ Limit theorems for ratios of order statistics from uniform distributions ⋮ Exact strong laws of large numbers for ratios of the smallest order statistics ⋮ A remark on the exact laws of large numbers for ratios of independent random variables

Cites Work

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• Iterated logarithm laws for asymmetric random variables barely with or without finite mean
• Weak laws with random indices for arrays of random elements in Rademacher type \(p\) Banach spaces
• Some Strong and Weak Limit Theorems for Weighted Sums of i.i.d. Banach Space Valued Random Elements with Slowly Varying Weights
• Regularly varying functions

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