Some limit theorems for large deviations of sums of independent random variables with a common distribution function from the domain of attraction of the normal law

DOI10.1007/S10958-005-0139-6zbMath1074.60034OpenAlexW2061798049MaRDI QIDQ2567735

Leonid V. Rozovsky

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/s10958-005-0139-6

Mathematics Subject Classification ID

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

Related Items (3)

One more on the convergence rates in precise asymptotics ⋮ Some limit theorems for large deviations of sums of independent random variables with common distribution function from the domain of normal attraction of a stable distribution ⋮ On the bounds for convergence rates in combinatorial strong limit theorems and their applications

Cites Work

• Convergence rates for probabilities of moderate deviations for sums of random variables with multidimensional indices
• Precise asymptotics in the law of the iterated logarithm.
• On the oscillations of sums of independent random variables
• Convergence Rates in the Law of Large Numbers
• Convergence Rates for the Law of the Iterated Logarithm
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