Limit theorems for ratios of order statistics from uniform distributions

DOI10.1186/S13660-019-2256-7zbMath1499.60097OpenAlexW2991264265WikidataQ126624472 ScholiaQ126624472MaRDI QIDQ2068097

Chang-Lin Mei, Yu Miao, Shou-Fang Xu

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2256-7

zbMATH Keywords

order statisticscomplete convergencelaw of large numberslarge deviation principleuniform distribution

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Large deviations (60F10)

Related Items (1)

Exact strong laws for functions from the bivariate Pareto distribution

Cites Work

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• Laws of large numbers for ratios of uniform random variables
• Various limit theorems for ratios from the uniform distribution
• A general result on almost sure central limit theorem for self-normalized sums for mixing sequences
• Self-normalized laws of the iterated logarithm
• Self-normalized large deviations
• When is the Student \(t\)-statistic asymptotically standard normal?
• Some limit theorems for ratios of order statistics from uniform random variables
• More on complete convergence for arrays
• On the self-normalized Cramér-type large deviation
• Foundations of Modern Probability

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