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A Limit Theorem for Conditioned Recurrent Random Walk Attracted to a Stable Law

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Publication:5581162
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DOI10.1214/aoms/1177697195zbMath0187.41301OpenAlexW2082165305WikidataQ114846511 ScholiaQ114846511MaRDI QIDQ5581162

B. Belkin

Publication date: 1970

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177697195


zbMATH Keywords

probability theory


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Limit theorems in probability theory (60F99)


Related Items (8)

On the sojourn time of a generalized Brownian meander ⋮ An invariance principle for conditioned recurrent random walk attracted to a stable law ⋮ Some results on the Brownian meander with drift ⋮ Weak convergence inapplied probability ⋮ Limit theorems for random walks that avoid bounded sets, with applications to the largest gap problem ⋮ Asymptotically stable random walks of index \(1 < \alpha < 2\) killed on a finite set ⋮ Conditional limit theorems for asymptotically stable random walks ⋮ A conditional local limit theorem and its application to random walk




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