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Teoriya Veroyatnostei i ee Primeneniya, 2019, Volume 64, Issue 2, Pages 399–411
DOI: https://doi.org/10.4213/tvp5218 (Mi tvp5218) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

Moderately large deviation principles for trajectories of compound renewal processes

A. A. Borovkovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (487 kB) Citations (2)
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DOI: https://doi.org/10.4213/tvp5218
Abstract: Moderate large deviations principles for trajectories of compound renewal processes are put forward assuming that either the Cramér condition is satisfied or weaker moment conditions are satisfied.
Keywords: compound renewal processes, moderate large deviations principle, Cramér condition, crude (logarithmic) invariance principle.
Received: 18.05.2018
Accepted: 31.05.2018
English version:
Theory of Probability and its Applications, 2019, Volume 64, Issue 2, Pages 324–333
DOI: https://doi.org/10.1137/S0040585X97T989519
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Borovkov, “Moderately large deviation principles for trajectories of compound renewal processes”, Teor. Veroyatnost. i Primenen., 64:2 (2019), 399–411; Theory Probab. Appl., 64:2 (2019), 324–333
Citation in format AMSBIB
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  • https://doi.org/10.4213/tvp5218
  • https://www.mathnet.ru/eng/tvp/v64/i2/p399
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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