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Izvestiya: Mathematics, 2006, Volume 70, Issue 6, Pages 1225–1232
DOI: https://doi.org/10.1070/IM2006v070n06ABEH002344 (Mi im743) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the mean value of the ladder epoch for random walks with a small drift

V. I. Lotov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
English version PDF (176 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM2006v070n06ABEH002344
Abstract: In this paper, we prove theorems on the asymptotic behaviour of the mean value of the time at which the non-negative half-axis is first attained for a random walk whose drift tends to zero. It is assumed that the distribution of jumps of the random walk belongs to the domain of attraction of a stable law with exponent $\alpha\in(1,2)$.
Received: 21.01.2005
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2006, Volume 70, Issue 6, Pages 153–160
DOI: https://doi.org/10.4213/im743
Bibliographic databases:
UDC: 519.21
MSC: 11K05, 11N60, 40E05, 26A12, 60E07, 60E10, 60F05, 60G50
Language: English
Original paper language: Russian
Citation: V. I. Lotov, “On the mean value of the ladder epoch for random walks with a small drift”, Izv. RAN. Ser. Mat., 70:6 (2006), 153–160; Izv. Math., 70:6 (2006), 1225–1232
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v70/i6/p153
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:419
    Russian version PDF:184
    English version PDF:28
    References:66
    First page:6
     
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