Some limit theorems for ratios of order statistics from uniform random variables
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Publication:1684614
DOI10.1186/s13660-017-1569-7zbMath1380.62220OpenAlexW2769873724WikidataQ47153283 ScholiaQ47153283MaRDI QIDQ1684614
Publication date: 11 December 2017
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-017-1569-7
order statisticscomplete convergencelarge deviation principleuniform distributionalmost sure central limit theorem
Related Items (6)
On exact strong laws of large numbers for ratios of random variables and their applications ⋮ Exact Strong Laws for the Range ⋮ Unusual limit theorems for the difference of order statistics from a Pareto ⋮ Limit theorems for ratios of order statistics from uniform distributions ⋮ 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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- 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
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- A note on the almost sure central limit theorem
- Donsker's theorem for self-normalized partial sums processes
- A universal result in almost sure central limit theory.
- More on complete convergence for arrays
- Exact laws for sums of ratios of order statistics from the Pareto distribution
- Probability for Statistics and Machine Learning
- Approximation Theorems of Mathematical Statistics
- On Strong Versions of the Central Limit Theorem
- An almost everywhere central limit theorem
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