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Teoriya Veroyatnostei i ee Primeneniya, 2022, Volume 67, Issue 2, Pages 351–364
DOI: https://doi.org/10.4213/tvp5407 (Mi tvp5407) 		 
Extrema of the generalized allocation scheme based on an $m$-dependent sequence

Y. Miaoab, X. M. Qua, G. Y. Yangc

a College of Mathematics and Information Science, Henan Normal University, Henan Province, China
b Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, Henan Normal University, Henan Province, China
c School of Mathematics and Statistics, Zhengzhou University, Henan Province, China
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DOI: https://doi.org/10.4213/tvp5407
Abstract: We establish some asymptotic estimations for the extrema of the generalized allocation scheme driven by $m$-dependent random variables, which extend some known results of Chuprunov and Fazekash [Discrete Math. Appl., 22 (2012), pp. 307–314] from the independent case to the $m$-dependent case.
Keywords: extrema, generalized allocation scheme, limit theorems, $m$-dependent random variables.
Funding agency Grant number
National Natural Science Foundation of China 11971154
Foundation of Young Scholar of the Educational Department of Henan Province 2019GGJS012
This work was supported by the NSFC (project 11971154) and the Foundation of Young Scholar of the Educational Department of Henan Province (project 2019GGJS012).
Received: 03.04.2020
Revised: 25.01.2022
Accepted: 29.12.2021
English version:
Theory of Probability and its Applications, 2022, Volume 67, Issue 2, Pages 282–293
DOI: https://doi.org/10.1137/S0040585X97T990927
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Y. Miao, X. M. Qu, G. Y. Yang, “Extrema of the generalized allocation scheme based on an $m$-dependent sequence”, Teor. Veroyatnost. i Primenen., 67:2 (2022), 351–364; Theory Probab. Appl., 67:2 (2022), 282–293
Citation in format AMSBIB
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\by Y.~Miao, X.~M.~Qu, G.~Y.~Yang
\paper Extrema of the generalized allocation scheme based on an $m$-dependent sequence
\jour Teor. Veroyatnost. i Primenen.
\yr 2022
\vol 67
\issue 2
\pages 351--364
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\crossref{https://doi.org/10.4213/tvp5407}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4466434}
\zmath{https://zbmath.org/?q=an:7573885}
\transl
\jour Theory Probab. Appl.
\yr 2022
\vol 67
\issue 2
\pages 282--293
\crossref{https://doi.org/10.1137/S0040585X97T990927}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85165689961}
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  • https://www.mathnet.ru/eng/tvp/v67/i2/p351
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