Local asymptotics for the time of rst return to the origin of transient random walk

Doney, Ron and Korshunov, Dmitry (2011) Local asymptotics for the time of rst return to the origin of transient random walk. Statistics and Probability Letters, 81 (9). pp. 1419-1424. ISSN 0167-7152

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Abstract

We consider a transient random walk on ZdZd which is asymptotically stable, without centering, in a sense which allows different norming for each component. The paper is devoted to the asymptotics of the probability of the first return to the origin of such a random walk at time nn.

Item Type:

Journal Article

Journal or Publication Title:

Statistics and Probability Letters

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2613

Subjects:

?? multidimensional random walktransiencefirst return to the originlocal limit theoremdefective renewal functionstatistics and probabilitystatistics, probability and uncertaintydiscipline-based research ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

76863

Deposited By:

ep_importer_pure

Deposited On:

24 Nov 2015 16:36

Refereed?:

Yes

Published?:

Published

Last Modified:

15 Jul 2024 15:37

URI:

https://eprints.lancs.ac.uk/id/eprint/76863