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A local limit theorem on one-sided large deviations for dominated-variation distributions

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Publication:1366368
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DOI10.1007/BF02473968zbMath0894.60025OpenAlexW2325010129MaRDI QIDQ1366368

Bernhard Rupp

Publication date: 28 October 1997

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02473968


zbMATH Keywords

large deviationsheavy tailsdominated-variation distributioninteger-valued random walkregularly oscillating


Mathematics Subject Classification ID

Large deviations (60F10)


Related Items (4)

Thermodynamic limit for the invariant measures in supercritical zero range processes ⋮ Local precise large and moderate deviations for sums of independent random variables ⋮ A one-sided large deviation local limit theorem ⋮ Local precise large deviations for sums of random variables with \(O\)-regularly varying densities



Cites Work

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  • The tail of the convolution of densities and its application to a model of HIV-latency time
  • On the asymptotics of one-sided large deviation probabilities
  • A property of longtailed distributions
  • Subexponential distributions and integrated tails
  • A large deviation local limit theorem


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