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On large deviations for combinatorial sums. / Frolov, Andrei N.

In: Journal of Statistical Planning and Inference, Vol. 217, 03.2022, p. 24-32.

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

Harvard

Frolov, AN 2022, 'On large deviations for combinatorial sums', Journal of Statistical Planning and Inference, vol. 217, pp. 24-32. https://doi.org/10.1016/j.jspi.2021.07.002

APA

Frolov, A. N. (2022). On large deviations for combinatorial sums. Journal of Statistical Planning and Inference, 217, 24-32. https://doi.org/10.1016/j.jspi.2021.07.002

Vancouver

Frolov AN. On large deviations for combinatorial sums. Journal of Statistical Planning and Inference. 2022 Mar;217:24-32. https://doi.org/10.1016/j.jspi.2021.07.002

Author

Frolov, Andrei N. / On large deviations for combinatorial sums. In: Journal of Statistical Planning and Inference. 2022 ; Vol. 217. pp. 24-32.

BibTeX

@article{330b93eb2649403b97b5190fb5c715bf,
title = "On large deviations for combinatorial sums",
abstract = "We investigate an asymptotic behaviour of probabilities of large deviations for normalized combinatorial sums. We find a zone in which these probabilities are equivalent to the tail of the standard normal law. Our conditions are similar to the classical Bernstein conditions. The range of the zone of the normal convergence can be of a power order.",
keywords = "Combinatorial central limit theorem, Combinatorial sum, Large deviations, REMAINDER, BOUNDS",
author = "Frolov, {Andrei N.}",
note = "Funding Information: This investigation was supported by RFBR, Russia, research project No. 18?01?00393. Funding Information: This investigation was supported by RFBR, Russia , research project No. 18–01–00393 . Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",
year = "2022",
month = mar,
doi = "10.1016/j.jspi.2021.07.002",
language = "English",
volume = "217",
pages = "24--32",
journal = "Journal of Statistical Planning and Inference",
issn = "0378-3758",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On large deviations for combinatorial sums

AU - Frolov, Andrei N.

N1 - Funding Information: This investigation was supported by RFBR, Russia, research project No. 18?01?00393. Funding Information: This investigation was supported by RFBR, Russia , research project No. 18–01–00393 . Publisher Copyright: © 2021 Elsevier B.V.

PY - 2022/3

Y1 - 2022/3

N2 - We investigate an asymptotic behaviour of probabilities of large deviations for normalized combinatorial sums. We find a zone in which these probabilities are equivalent to the tail of the standard normal law. Our conditions are similar to the classical Bernstein conditions. The range of the zone of the normal convergence can be of a power order.

AB - We investigate an asymptotic behaviour of probabilities of large deviations for normalized combinatorial sums. We find a zone in which these probabilities are equivalent to the tail of the standard normal law. Our conditions are similar to the classical Bernstein conditions. The range of the zone of the normal convergence can be of a power order.

KW - Combinatorial central limit theorem

KW - Combinatorial sum

KW - Large deviations

KW - REMAINDER

KW - BOUNDS

UR - http://www.scopus.com/inward/record.url?scp=85111002443&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/59e74655-27d3-3070-ad5b-9b7a74075178/

U2 - 10.1016/j.jspi.2021.07.002

DO - 10.1016/j.jspi.2021.07.002

M3 - Article

AN - SCOPUS:85111002443

VL - 217

SP - 24

EP - 32

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

SN - 0378-3758

ER -

ID: 86254000