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, 2025, Volume 70, Issue 1, Pages 136–154
DOI: https://doi.org/10.4213/tvp5603 (Mi tvp5603) 		 
Limiting behaviors for weighted sums of residually $h$-integrable random variables under sublinear expectations

X. Wanga, Y. Wub

a School of Big Data and Statistics, Anhui University, Hefei, P. R. China
b School of Big Data and Artificial Intelligence, Chizhou University, Chizhou, P. R. China
Full-text PDF (545 kB) First page
References:
PDF
HTML
DOI: https://doi.org/10.4213/tvp5603
Abstract: This paper investigates the weak law of large numbers, complete convergence for weighted sums of residually $h$-integrable extended negatively dependent random variables (r.v.'s), and complete integral convergence for weighted sums of strongly residually $h$-integrable extended negatively dependent r.v.'s under sublinear expectations. The results obtained in the paper markedly improve and extend some existing ones in the probability space and sublinear expectation space.
Keywords: weak law of large numbers, complete convergence, complete integral convergence, residually $h$-integrable, extended negatively dependent, sublinear expectations.
Funding agency Grant number
National Natural Science Foundation of China 12471248
12201079
Supported by the National Natural Science Foundation of China (12471248, 12201079).
Received: 07.10.2022
Revised: 20.11.2024
Accepted: 22.03.2024
Published: 27.01.2025
English version:
Theory of Probability and its Applications, 2025, Volume 70, Issue 1, Pages 113–128
DOI: https://doi.org/10.1137/S0040585X97T992264
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: X. Wang, Y. Wu, “Limiting behaviors for weighted sums of residually $h$-integrable random variables under sublinear expectations”, Teor. Veroyatnost. i Primenen., 70:1 (2025), 136–154; Theory Probab. Appl., 70:1 (2025), 113–128
Citation in format AMSBIB
\Bibitem{WanWu25}
\by X.~Wang, Y.~Wu
\paper Limiting behaviors for weighted sums of residually $h$-integrable random variables under sublinear expectations
\jour Teor. Veroyatnost. i Primenen.
\yr 2025
\vol 70
\issue 1
\pages 136--154
\mathnet{http://mi.mathnet.ru/tvp5603}
\crossref{https://doi.org/10.4213/tvp5603}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4856751}
\transl
\jour Theory Probab. Appl.
\yr 2025
\vol 70
\issue 1
\pages 113--128
\crossref{https://doi.org/10.1137/S0040585X97T992264}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105005890725}
Linking options:
  • https://www.mathnet.ru/eng/tvp5603
  • https://doi.org/10.4213/tvp5603
  • https://www.mathnet.ru/eng/tvp/v70/i1/p136
    • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025