On exact strong laws of large numbers for ratios of random variables and their applications

DOI10.1080/03610926.2019.1586935OpenAlexW2971466407WikidataQ128164255 ScholiaQ128164255MaRDI QIDQ5077249

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Publication date: 18 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2019.1586935

zbMATH Keywords

order statisticsstrong law of large numbersalmost sure convergenceexact laws

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Statistics (62-XX) Strong limit theorems (60F15)

Related Items

Unnamed Item ⋮ Unusual limit theorems for the difference of order statistics from a Pareto ⋮ A note on exact laws of large numbers for the range of a sample from Pareto-type distributions ⋮ A remark on the exact laws of large numbers for ratios of independent random variables

Cites Work

• Limit theorems for order statistics from exponentials
• Laws of large numbers for ratios of uniform random variables
• Various limit theorems for ratios from the uniform distribution
• Limit properties for ratios of order statistics from exponentials
• Some limit theorems for ratios of order statistics from uniform random variables
• Exact laws for sums of ratios of order statistics from the Pareto distribution
• ON SUMS OF INDEPENDENT RANDOM VARIABLES WITH INFINITE MOMENTS AND „FAIR” GAMES
• Strong laws for the largest ratio of adjacent order statistics
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