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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Local asymptotics for the time of rst return to the origin of transient random walk. / Doney, Ron; Korshunov, Dmitry.
In: Statistics and Probability Letters, Vol. 81, No. 9, 09.2011, p. 1419-1424.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Doney, R & Korshunov, D 2011, 'Local asymptotics for the time of rst return to the origin of transient random walk', Statistics and Probability Letters, vol. 81, no. 9, pp. 1419-1424. https://doi.org/10.1016/j.spl.2011.04.017

APA

Doney, R., & Korshunov, D. (2011). Local asymptotics for the time of rst return to the origin of transient random walk. Statistics and Probability Letters, 81(9), 1419-1424. https://doi.org/10.1016/j.spl.2011.04.017

Vancouver

Doney R, Korshunov D. Local asymptotics for the time of rst return to the origin of transient random walk. Statistics and Probability Letters. 2011 Sept;81(9):1419-1424. doi: 10.1016/j.spl.2011.04.017

Author

Doney, Ron ; Korshunov, Dmitry. / Local asymptotics for the time of rst return to the origin of transient random walk. In: Statistics and Probability Letters. 2011 ; Vol. 81, No. 9. pp. 1419-1424.

Bibtex

@article{010dcec8b03e448eb9323ca415eccb54,
title = "Local asymptotics for the time of rst return to the origin of transient random walk",
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.",
keywords = "Multidimensional random walk, Transience, First return to the origin, Local limit theorem, Defective renewal function",
author = "Ron Doney and Dmitry Korshunov",
year = "2011",
month = sep,
doi = "10.1016/j.spl.2011.04.017",
language = "English",
volume = "81",
pages = "1419--1424",
journal = "Statistics and Probability Letters",
issn = "0167-7152",
publisher = "Elsevier",
number = "9",

}

RIS

TY - JOUR

T1 - Local asymptotics for the time of rst return to the origin of transient random walk

AU - Doney, Ron

AU - Korshunov, Dmitry

PY - 2011/9

Y1 - 2011/9

N2 - 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.

AB - 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.

KW - Multidimensional random walk

KW - Transience

KW - First return to the origin

KW - Local limit theorem

KW - Defective renewal function

U2 - 10.1016/j.spl.2011.04.017

DO - 10.1016/j.spl.2011.04.017

M3 - Journal article

VL - 81

SP - 1419

EP - 1424

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

IS - 9

ER -