Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoriya Veroyatnostei i ee Primeneniya, 2023, Volume 68, Issue 2, Pages 344–367
DOI: https://doi.org/10.4213/tvp5497 (Mi tvp5497) 		 
Complete and complete integral convergence for arrays of rowwise extended negatively dependent random variables under sub-linear expectations

M. M. Xiab, X. Q. Lia, L. Chena, X. J. Wanga

a School of Big Data and Statistics, Anhui University, Hefei, P. R. China
b School of Management, University of Science and Technology of China, Hefei, P. R. China
Full-text PDF (502 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tvp5497
Abstract: We study complete and complete integration convergence for arrays of rowwise extended negatively dependent random variables under sublinear expectations. Our results generalize complete moment convergence results of [T.-C. Hu, K.-L. Wang, and A. Rosalsky, Sankhya A, 77 (2015), pp. 1–29] and [Y. Wu, M. Ordóñez Cabrera, and A. Volodin, Glas. Mat. Ser. III, 49(69) (2014), pp. 447–466] from classical probability spaces to spaces with sublinear expectation.
Keywords: random environment, small deviation probability, partial sums of independent random variables.
Funding agency Grant number
National Natural Science Foundation of China 12201600
12201079
Natural Science Foundation of Anhui Province 2108085MA06
2108085QA15
Postdoctoral Science Foundation of China 2022M713056
Supported by the National Natural Science Foundation of China (projects 12201600, 12201079), the Natural Science Foundation of Anhui Province (projects 2108085MA06, 2108085QA15), and the Postdoctoral Science Foundation of China (project 2022M713056).
Received: 10.05.2021
Revised: 27.10.2022
English version:
Theory of Probability and its Applications, 2023, Volume 68, Issue 2, Pages 285–304
DOI: https://doi.org/10.1137/S0040585X97T991416
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. M. Xi, X. Q. Li, L. Chen, X. J. Wang, “Complete and complete integral convergence for arrays of rowwise extended negatively dependent random variables under sub-linear expectations”, Teor. Veroyatnost. i Primenen., 68:2 (2023), 344–367; Theory Probab. Appl., 68:2 (2023), 285–304
Citation in format AMSBIB
\Bibitem{XiLiChe23}
\by M.~M.~Xi, X.~Q.~Li, L.~Chen, X.~J.~Wang
\paper Complete and complete integral convergence for
arrays of rowwise extended negatively dependent
random variables under sub-linear expectations
\jour Teor. Veroyatnost. i Primenen.
\yr 2023
\vol 68
\issue 2
\pages 344--367
\mathnet{http://mi.mathnet.ru/tvp5497}
\crossref{https://doi.org/10.4213/tvp5497}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4311352}
\transl
\jour Theory Probab. Appl.
\yr 2023
\vol 68
\issue 2
\pages 285--304
\crossref{https://doi.org/10.1137/S0040585X97T991416}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85179303188}
Linking options:
  • https://www.mathnet.ru/eng/tvp5497
  • https://doi.org/10.4213/tvp5497
  • https://www.mathnet.ru/eng/tvp/v68/i2/p344
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
    Statistics & downloads:
    Abstract page:125
    Full-text PDF :6
    References:34
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024