An Extension of the Concept of Slowly Varying Function with Applications to Large Deviation Limit Theorems

DOI10.1007/978-3-642-33549-5_7zbMath1270.60031arXiv1006.3164OpenAlexW2996509175MaRDI QIDQ2838138

Konstantin A. Borovkov, Aleksandr A. Borovkov

Publication date: 8 July 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.3164

zbMATH Keywords

random walkslowly varying functionlarge deviation probabilitieslocally constant function

Mathematics Subject Classification ID

Large deviations (60F10) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (1)

Blackwell-type theorems for weighted renewal functions

Cites Work

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• An Introduction to Heavy-Tailed and Subexponential Distributions
• Asymptotic Analysis of Random Walks
• Intermediate Regular and Π Variation
• Precise large deviations for sums of random variables with consistently varying tails

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