Limit theorems for order statistics from exponentials

DOI10.1016/j.spl.2015.12.001zbMath1336.60064OpenAlexW2191948474MaRDI QIDQ273692

F. Blanchet-Sadri, M. Dambrine

Publication date: 22 April 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2015.12.001

zbMATH Keywords

order statisticsexponential distributioncentral limit theoremalmost sure central limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)

Related Items (10)

Various limit theorems for ratios from the uniform distribution ⋮ On exact strong laws of large numbers for ratios of random variables and their applications ⋮ Limit behaviors for ratios of order statistics from exponential distributions ⋮ Some limit theorems for ratios of order statistics from uniform random variables ⋮ Exact Strong Laws for the Range ⋮ Limit properties for ratios of order statistics from exponentials ⋮ Strong laws for the largest ratio of adjacent order statistics ⋮ Complete convergence for arrays of ratios of order statistics ⋮ Exact strong laws of large numbers for ratios of the smallest order statistics ⋮ One sided limit theorems for the range of a Pareto

Cites Work

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• A note on the almost sure central limit theorem
• A note on the almost sure central limit theorem for weakly dependent random variables
• Donsker's theorem for self-normalized partial sums processes
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• Foundations of Modern Probability

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