On probabilities of moderate deviations of sums for independent random variables

DOI10.1007/s10958-005-0141-zzbMath1076.60021OpenAlexW2076219142MaRDI QIDQ2567737

Yanyan Li

Publication date: 13 October 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0141-z

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Large deviations (60F10)

Related Items (6)

A moderate deviation for associated random variables ⋮ On the asymptotic behavior of probabilities of moderate deviations for combinatorial sums ⋮ On asymptotic behavior of probabilities of large and moderate deviations for some iterated stochastic processes ⋮ Exact moderate and large deviations for linear random fields ⋮ Cramér type moderate deviations for random fields ⋮ Order of approximation in the central limit theorem for associated random variables and a moderate deviation result

Cites Work

• Nonuniform central limit bounds with applications to probabilities of deviations
• On one-sided strong laws for large increments of sums
• Некоторые уточнения вероятностных и моментных неравенств
• Some Limit Theorems for Large Deviations
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