Small deviations of series of independent positive random variables with weights close to exponential

DOI10.3103/S1055134408030024zbMath1249.60036OpenAlexW2092190966MaRDI QIDQ3115372

P. S. Ruzankin, Aleksandr A. Borovkov

Publication date: 20 February 2012

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134408030024

zbMATH Keywords

delayed differential equationsmall deviationsseries of independent random variables

Mathematics Subject Classification ID

Large deviations (60F10)

Related Items

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Cites Work

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• Extremes of moving averages of random variables with finite endpoint
• On small deviations of series of weighted random variables
• On the lower tail probabilities of some random series