Aliyev, S.; Rahimov, F.; Navidiv, M. On asymptotic behaviour of conditional probability of crossing the nonlinear boundary by a perturbed random walk. (English) Zbl 1249.60084 Theory Stoch. Process. 17, No. 1, 5-11 (2011). Summary: We prove a theorem on the limit behaviour of the conditional probability of crossing the nonlinear boundary by a perturbed random walk with a distribution which belongs to the domain of attraction of the stable law with index \(\alpha\in (1,2]\). Cited in 1 Document MSC: 60G50 Sums of independent random variables; random walks Keywords:perturbed random walk; stable law; domain of attraction PDFBibTeX XMLCite \textit{S. Aliyev} et al., Theory Stoch. Process. 17, No. 1, 5--11 (2011; Zbl 1249.60084)