Strong laws of large numbers for sub-linear expectation without independence
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2017/04/17
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Indian UGC (journal)
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Refrences22
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Citations9
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Zengjing Chen School of Mathematics, Shandong University, Jinan, Shandong, China
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Cheng Hu School of Mathematics, Shandong University, Jinan, Shandong, China
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Gaofeng Zong School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan, China
Cite
Chen, Zengjing, et al. “Strong Laws of Large Numbers for Sub-Linear Expectation Without Independence”. Communications in Statistics - Theory and Methods, vol. 46, no. 15, 2017, pp. 7529-45, https://doi.org/10.1080/03610926.2016.1154157.
Chen, Z., Hu, C., & Zong, G. (2017). Strong laws of large numbers for sub-linear expectation without independence. Communications in Statistics - Theory and Methods, 46(15), 7529-7545. https://doi.org/10.1080/03610926.2016.1154157
Chen, Zengjing, Cheng Hu, and Gaofeng Zong. “Strong Laws of Large Numbers for Sub-Linear Expectation Without Independence”. Communications in Statistics - Theory and Methods 46, no. 15 (2017): 7529-45. https://doi.org/10.1080/03610926.2016.1154157.
Chen Z, Hu C, Zong G. Strong laws of large numbers for sub-linear expectation without independence. Communications in Statistics - Theory and Methods. 2017;46(15):7529-45.
Journal Categories
Science
Mathematics
Science
Mathematics
Probabilities
Mathematical statistics
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Title | 1997 | |||
| Invariance principles for the law of the iterated logarithm under G-framework | Science China Mathematics |
| 8 | 2015 |
| Bayes' Theorem for Choquet Capacities | The Annals of Statistics |
| 80 | 1990 |
| 10.1007/978-0-387-76852-6 | ||||
| 10.1137/S0040585X97983626 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Conditional Strong Law of Large Numbers under G-Expectations | Symmetry |
| 2024 | |
| Complete Moment Convergence and $$L_q$$ Convergence for AANA Random Variables Under Sub-linear Expectations | Bulletin of the Malaysian Mathematical Sciences Society |
| 2023 | |
| Further results on laws of large numbers for the array of random variables under sub-linear expectation | Communications in Statistics - Theory and Methods |
| 2023 | |
| Complete convergence theorems for arrays of row-wise extended negatively dependent random variables under sub-linear expectations | Communications in Statistics - Theory and Methods |
| 2022 | |
A general form for precise asymptotics for complete convergence under sublinear expectation | AIMS Mathematics | 11 | 2022 |
Citations Analysis
The category
Science: Mathematics 7
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Choquet functional and it’s applications in information theory and was published in 2018. The most recent citation comes from a 2024 study titled Conditional Strong Law of Large Numbers under G-Expectations. This article reached its peak citation in 2023, with 2 citations. It has been cited in 6 different journals, 33% of which are open access. Among related journals, the Communications in Statistics - Theory and Methods cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.