On the probabilities of moderate deviations for combinatorial sums
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Publication:2404517
DOI10.3103/S1063454115010045zbMath1370.60052MaRDI QIDQ2404517
Publication date: 19 September 2017
Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)
combinatorial central limit theoremEsseen inequalitycombinatorial sumprobabilities of moderate deviations
Related Items (5)
On the probabilities of large deviations of combinatorial sums of independent random variables that satisfy the Linnik condition ⋮ On the asymptotic behavior of probabilities of moderate deviations for combinatorial sums ⋮ On the bounds for convergence rates in combinatorial strong limit theorems and their applications ⋮ On combinatorial strong law of large numbers and rank statistics ⋮ On large deviations for combinatorial sums
Cites Work
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- Nonuniform central limit bounds with applications to probabilities of deviations
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- On one-sided strong laws for large increments of sums
- On probabilities of moderate deviations
- Esseen type bounds of the remainder in a combinatorial CLT
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- Normal Approximation by Stein’s Method
- An estimate of the remainder in a combinatorial central limit theorem
- Narrow Zones of Normal Convergence for Sums of Non-Identically Distributed Random Variables
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- Some Limit Theorems for Large Deviations
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- A Combinatorial Central Limit Theorem
- Statistical Tests Based on Permutations of the Observations
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