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On asymptotic behaviour of conditional probability of crossing the nonlinear boundary by a perturbed random walk
S. Aliyeva, F. Rahimovb, M. Navidi a Institute of Mathematics and Mechanics of the NAS of Azerbaijan
b Department of Probability Theory and Mathematical Statistics of the State University of Baku
Abstract:
We prove a theorem on the limit behavior 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 $\alpha \in \left( 1,2\right].$
Keywords:
Perturbed random walk, first passage time, conditional probability of crossing the boundary, overshoot of a random walk.
Citation:
S. Aliyev, F. Rahimov, M. Navidi, “On asymptotic behaviour of conditional probability of crossing the nonlinear boundary by a perturbed random walk”, Theory Stoch. Process., 17(33):1 (2011), 5–11
Linking options:
https://www.mathnet.ru/eng/thsp35 https://www.mathnet.ru/eng/thsp/v17/i1/p5
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Abstract page: | 341 | Full-text PDF : | 54 | References: | 21 |
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