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Discrete Mathematics & Theoretical Computer Science |
Continuing the line of research initiated in Iksanov and Möhle (2008) and Negadajlov (2008) we investigate the asymptotic (as $n \to \infty$) behaviour of $V_n$ the number of zero increments before the absorption in a random walk with the barrier $n$. In particular, when the step of the unrestricted random walk has a finite mean, we prove that the number of zero increments converges in distribution. We also establish a weak law of large numbers for $V_n$ under a regular variation assumption.
Source : ScholeXplorer
IsRelatedTo ARXIV 1104.2299 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1104.2299
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