Geodesic
On the Asymptotic Behavior of Distributions of First-Passage Times, II
Matematičeskie zametki, Tome 75 (2004) no. 3, pp. 350-359.

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In this paper, the asymptotic behavior of and estimates for the distribution of first-passage times for a random walk with nonzero drift are obtained in the case of passage of zero level (in both directions). 
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A. A. Borovkov. On the Asymptotic Behavior of Distributions of First-Passage Times, II. Matematičeskie zametki, Tome 75 (2004) no. 3, pp. 350-359. http://geodesic.mathdoc.fr/item/MZM_2004_75_3_a2/

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