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Poisson Approximation to the Distributions of -Statistics. / Borisov, I. S.; Jetpisbaev, M. J.

In: Mathematical Notes, Vol. 117, No. 5-6, 08.09.2025, p. 707-713.

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

Harvard

Borisov, IS & Jetpisbaev, MJ 2025, 'Poisson Approximation to the Distributions of -Statistics', Mathematical Notes, vol. 117, no. 5-6, pp. 707-713. https://doi.org/10.1134/S0001434625602746

APA

Borisov, I. S., & Jetpisbaev, M. J. (2025). Poisson Approximation to the Distributions of -Statistics. Mathematical Notes, 117(5-6), 707-713. https://doi.org/10.1134/S0001434625602746

Vancouver

Borisov IS, Jetpisbaev MJ. Poisson Approximation to the Distributions of -Statistics. Mathematical Notes. 2025 Sept 8;117(5-6):707-713. doi: 10.1134/S0001434625602746

Author

Borisov, I. S. ; Jetpisbaev, M. J. / Poisson Approximation to the Distributions of -Statistics. In: Mathematical Notes. 2025 ; Vol. 117, No. 5-6. pp. 707-713.

BibTeX

@article{e36d595a3d174548a08eb2e31955bda1,
title = "Poisson Approximation to the Distributions of -Statistics",
abstract = "Abstract: We discuss Poisson approximation of distributions of -statistics if the number of groups and the sample size go off to infinity simultaneously.",
keywords = "-statistic, Poisson approximation, Poissonization principle",
author = "Borisov, {I. S.} and Jetpisbaev, {M. J.}",
note = "This work was financially supported by the Russian Science Foundation, project 24-21-00087, https://rscf.ru/en/project/24-21-00087/.",
year = "2025",
month = sep,
day = "8",
doi = "10.1134/S0001434625602746",
language = "English",
volume = "117",
pages = "707--713",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Pleiades Publishing",
number = "5-6",

}

RIS

TY - JOUR

T1 - Poisson Approximation to the Distributions of -Statistics

AU - Borisov, I. S.

AU - Jetpisbaev, M. J.

N1 - This work was financially supported by the Russian Science Foundation, project 24-21-00087, https://rscf.ru/en/project/24-21-00087/.

PY - 2025/9/8

Y1 - 2025/9/8

N2 - Abstract: We discuss Poisson approximation of distributions of -statistics if the number of groups and the sample size go off to infinity simultaneously.

AB - Abstract: We discuss Poisson approximation of distributions of -statistics if the number of groups and the sample size go off to infinity simultaneously.

KW - -statistic

KW - Poisson approximation

KW - Poissonization principle

UR - https://www.mendeley.com/catalogue/4304257e-8a1c-3f34-aa81-542c7a431f4b/

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105015152478&origin=inward

U2 - 10.1134/S0001434625602746

DO - 10.1134/S0001434625602746

M3 - Article

VL - 117

SP - 707

EP - 713

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 5-6

ER -

ID: 69358830