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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 273–284
DOI: https://doi.org/10.33048/semi.2022.19.021 (Mi semr1498) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Probability theory and mathematical statistics

Exponential tightness for integral – type functionals of centered independent differently distributed random variables

A. V. Logachovabc, A. A. Mogulskiiac

a Lab. of Probability Theory and Math. Statistics, Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Dep. of Computer Science in Economics, Novosibirsk State Technical University 20, K. Marksa ave., Novosibirsk, 630073, Russia
c Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.021
Abstract: Exponential tightness is proved for a sequence of integral – type random fields constructed by centered independent differently distributed random variables. This result is proven using sufficient conditions for the exponential tightness of a sequence of continuous random fields of arbitrary form, which are also obtained in this paper.
Keywords: random field, Cramer's moment condition, large deviations principle, moderate deviations principle, exponential tightness.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-282
The work is supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation.
Received October 19, 2021, published May 11, 2022
Bibliographic databases:
Document Type: Article
UDC: 519.21
MSC: 60G60, 60F10
Language: English
Citation: A. V. Logachov, A. A. Mogulskii, “Exponential tightness for integral – type functionals of centered independent differently distributed random variables”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 273–284
Citation in format AMSBIB
\Bibitem{LogMog22}
\by A.~V.~Logachov, A.~A.~Mogulskii
\paper Exponential tightness for integral -- type functionals of centered independent differently distributed random variables
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 1
\pages 273--284
\mathnet{http://mi.mathnet.ru/semr1498}
\crossref{https://doi.org/10.33048/semi.2022.19.021}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4449214}
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    • This publication is cited in the following 1 articles:
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