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Probabilities of large deviations for random walks with regular distribution of jumps.

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Publication:1432214
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zbMath1045.60027MaRDI QIDQ1432214

Aleksandr A. Borovkov, Konstantin A. Borovkov

Publication date: 15 June 2004

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

regular variationlarge deviationsrandom walk


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Large deviations (60F10) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)


Related Items (6)

A note on max-sum equivalence ⋮ On the number of claims until ruin in a two-barrier renewal risk model with Erlang mixtures ⋮ Asymptotics of random contractions ⋮ On subexponential tails for the maxima of negatively driven compound renewal and Lévy processes ⋮ Estimates for the distribution of sums and maxima of sums of random variables without the Cramér condition ⋮ Homogeneous models and generic extensions




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