Approximation of the expectation of the first exit time from an interval for a random walk


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Abstract

We obtain asymptotic expansions for the expectation of the first exit time from an expanding strip for a random walk trajectory. We suppose that the distribution of random walk jumps satisfies the Cramér condition on the existence of an exponential moment.

About the authors

V. I. Lotov

Sobolev Institute of Mathematics; Novosibirsk State University

Author for correspondence.
Email: lotov@math.nsc.ru
Russian Federation, Novosibirsk; Novosibirsk


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