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Rare Events and Poisson Point Processes. / Götze, F.; Zaitsev, A. Yu.

In: Journal of Mathematical Sciences (United States), Vol. 244, No. 5, 01.02.2020, p. 771-778.

Research output: Contribution to journal › Article › peer-review

Harvard

Götze, F & Zaitsev, AY 2020, 'Rare Events and Poisson Point Processes', Journal of Mathematical Sciences (United States), vol. 244, no. 5, pp. 771-778. https://doi.org/10.1007/s10958-020-04650-2

APA

Götze, F., & Zaitsev, A. Y. (2020). Rare Events and Poisson Point Processes. Journal of Mathematical Sciences (United States), 244(5), 771-778. https://doi.org/10.1007/s10958-020-04650-2

Vancouver

Götze F, Zaitsev AY. Rare Events and Poisson Point Processes. Journal of Mathematical Sciences (United States). 2020 Feb 1;244(5):771-778. https://doi.org/10.1007/s10958-020-04650-2

Author

Götze, F. ; Zaitsev, A. Yu. / Rare Events and Poisson Point Processes. In: Journal of Mathematical Sciences (United States). 2020 ; Vol. 244, No. 5. pp. 771-778.

BibTeX

@article{3e87cba7608a466ea12d14df9e0c3e6a,
title = "Rare Events and Poisson Point Processes",
abstract = "The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent terms by the accompanying compound Poisson laws may be interpreted as rather sharp quantitative estimates for the closeness between the sample containing independent observations of rare events and the Poisson point process which is obtained after a Poissonization of the initial sample.",
author = "F. G{\"o}tze and Zaitsev, {A. Yu}",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = feb,
day = "1",
doi = "10.1007/s10958-020-04650-2",
language = "English",
volume = "244",
pages = "771--778",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Rare Events and Poisson Point Processes

AU - Götze, F.

AU - Zaitsev, A. Yu

N1 - Publisher Copyright: © 2020, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/2/1

Y1 - 2020/2/1

N2 - The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent terms by the accompanying compound Poisson laws may be interpreted as rather sharp quantitative estimates for the closeness between the sample containing independent observations of rare events and the Poisson point process which is obtained after a Poissonization of the initial sample.

AB - The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent terms by the accompanying compound Poisson laws may be interpreted as rather sharp quantitative estimates for the closeness between the sample containing independent observations of rare events and the Poisson point process which is obtained after a Poissonization of the initial sample.

UR - http://www.scopus.com/inward/record.url?scp=85078600285&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-04650-2

DO - 10.1007/s10958-020-04650-2

M3 - Article

AN - SCOPUS:85078600285

VL - 244

SP - 771

EP - 778

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 72818180