Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2011, Volume 11, Issue 1, Pages 64–69 (Mi vngu69)  
On the Asymptotics of Weighted Renewal Function

V. I. Lotovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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Abstract: We obtain the theorem on the asymptotics of weighted renewal function under Cram'er type conditions on the distribution of summands.
Keywords: random walk, weighted renewal function, moment generating functions, asymptotic analysis.
Received: 25.05.2010
English version:
Journal of Mathematical Sciences, 2013, Volume 188, Issue 4, Pages 435–440
DOI: https://doi.org/10.1007/s10958-012-1139-y
Document Type: Article
UDC: 519.21
Language: Russian
Citation: V. I. Lotov, “On the Asymptotics of Weighted Renewal Function”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:1 (2011), 64–69; J. Math. Sci., 188:4 (2013), 435–440
Citation in format AMSBIB
\Bibitem{Lot11}
\by V.~I.~Lotov
\paper On the Asymptotics of Weighted Renewal Function
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2011
\vol 11
\issue 1
\pages 64--69
\mathnet{http://mi.mathnet.ru/vngu69}
\transl
\jour J. Math. Sci.
\yr 2013
\vol 188
\issue 4
\pages 435--440
\crossref{https://doi.org/10.1007/s10958-012-1139-y}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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