Exact Strong Laws for the Range

DOI10.21915/BIMAS.2020104zbMath1434.60098OpenAlexW3017269811WikidataQ114845481 ScholiaQ114845481MaRDI QIDQ5109841

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Publication date: 13 May 2020

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21915/bimas.2020104

zbMATH Keywords

order statisticsalmost sure convergencestrong laws of large numbersexact strong laws

Mathematics Subject Classification ID

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

Related Items (3)

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 ⋮ One sided limit theorems for the range of a Pareto

Cites Work

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• 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
• Unusual strong laws for arrays of ratios of order statistics
• Some limit theorems for ratios of order statistics from uniform random variables
• Complete convergence for arrays of ratios of order statistics
• Exact strong laws of large numbers for ratios of the smallest order statistics

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