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Teoriya Veroyatnostei i ee Primeneniya, 2013, Volume 58, Issue 2, Pages 387–396
DOI: https://doi.org/10.4213/tvp4512 (Mi tvp4512) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Short Communications

A key renewal theorem for heavy tail distributions with $\beta\in(0,0.5]$

V. A. Vatutina, V. A. Topchiib

a Steklov Mathematical Institute of the Russian Academy of Sciences
b Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (168 kB) Citations (9)
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DOI: https://doi.org/10.4213/tvp4512
Abstract: An asymptotic behavior of increments of the renewal functions generated by the distributions with tails varying at $\pm\infty$ regularly with index $\beta\in(0,0.5]$ is investigated.
Keywords: increments of renewal function; infinite Mean; stable law on the real line; nonlattice distribution; regularly varying functions.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00515-a
Received: 29.02.2012
English version:
Theory of Probability and its Applications, 2014, Volume 58, Issue 2, Pages 333–342
DOI: https://doi.org/10.1137/S0040585X97986564
Bibliographic databases:
Document Type: Article
MSC: 60
Language: Russian
Citation: V. A. Vatutin, V. A. Topchii, “A key renewal theorem for heavy tail distributions with $\beta\in(0,0.5]$”, Teor. Veroyatnost. i Primenen., 58:2 (2013), 387–396; Theory Probab. Appl., 58:2 (2014), 333–342
Citation in format AMSBIB
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    • This publication is cited in the following 9 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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