Geodesic
On the asymptotics of weighted renewal function
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 2, pp. 56-60

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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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     author = {V. I. Lotov},
     title = {On the asymptotics of weighted renewal function},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {56--60},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a5/}
}
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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/