Geodesic
On the asymptotics of weighted renewal function
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 2, pp. 56-60 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain the theorem on the asymptotics of weighted renewal function under Cramér type conditions on the distribution of summands.
Keywords: random walk, weighted renewal function, moment generating functions, asymptotic analysis. 
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V. I. Lotov. On the asymptotics of weighted renewal function. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 2, pp. 56-60. http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a5/

[1] Spitser F., Printsipy sluchainogo bluzhdaniya, Mir, M., 1969

[2] Erdös P., Kac M., “On Certain Limit Theorems of Theory of Probability”, Bull. Amer. Math. Soc., 52:4 (1946), 292–302 | DOI | MR

[3] Lotov V. I., “O vremeni prebyvaniya sluchainogo bluzhdaniya v polose”, Sib. mat. zhurn., 51:4 (2010), 785–804 | MR | Zbl

[4] Borovkov A. A., Teoriya veroyatnostei, Nauka, M., 1986 | MR | Zbl

[5] Borovkov A. A., “Novye predelnye teoremy v granichnykh zadachakh dlya summ nezavisimykh slagaemykh”, Sib. mat. zhurn., 3:5 (1962), 645–694 | MR | Zbl

[6] Bingham N. H., Goldie C. M., Teugels J. L., Regular Variation, Cambridge University Press, 1987 | MR | Zbl