Superlarge deviation probabilities for sums of independent lattice random variables with exponential decreasing tails

DOI10.1016/J.SPL.2011.09.006zbMath1230.60027OpenAlexW2030045281MaRDI QIDQ654474

Leonid V. Rozovsky

Publication date: 28 December 2011

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2011.09.006

zbMATH Keywords

large deviationssums of independent random variablessuperlarge deviationslattice random variablesmaximal step

Mathematics Subject Classification ID

Large deviations (60F10)

Related Items (1)

Superlarge Deviation Probabilities for Sums of Independent Random Variables with Exponentially Decreasing Tails. II

Cites Work

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• A lower bound of large-deviation probabilities for the sample mean under the Cramer condition
• Large deviation probabilities for some classes of distributions satisfying the Cramér condition
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• Superlarge Deviation Probabilities for Sums of Independent Random Variables with Exponential Decreasing Distribution
• On Large and Superlarge Deviations of Sums of Independent Random Vectors Under Cramér's Condition. II
• On Exact Asymptotics in the Weak Law of Large Numbers for Sums of Independent Random Variables with a Common Distribution Function from the Domain of Attraction of a Stable Law. II
• On the Probabilities of Large Deviations for Sums of Independent Random Variables

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