Estimates for the distribution of sums and maxima of sums of random variables without the Cramér condition
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Publication:5932604
DOI10.1007/BF02674739zbMath0969.60047MaRDI QIDQ5932604
Publication date: 10 June 2001
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/121252
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Large deviations (60F10)
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Cites Work
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- Asymptotic behaviour of Wiener-Hopf factors of a random walk
- Nonuniform estimate of the rate of convergence in the CLT with stable limit distribution
- Large deviations of heavy-tailed sums with applications in insurance
- Probabilities of large deviations for random walks with regular distribution of jumps.
- Point process and partial sum convergence for weakly dependent random variables with infinite variance
- Large-Deviation Probabilities for Maxima of Sums of Independent Random Variables with Negative Mean and Subexponential Distribution
- Probabilities of Large Deviations for Sums of Independent Random Variables Attracted to a Stable Law
- On a Property of Sums of Independent Random Variables
- Some Limit Theorems for Large Deviations
- A contribution to the theory of large deviations for sums of independent random variables
- On the maximum of sums of random variables and the supremum functional for stable processes
- Probability Inequalities for Sums of Independent Random Variables
- Large deviations of sums of independent random variables
- Large deviation probabilities for random walks with semiexponential distributions
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