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作者：Yongfeng Wu
題目：Limit theorems for negatively superadditive-dependent random variables with infinite or finite means
doi: 10.3934/math.20231291

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wyfwywyf: 金幣+10, ★★★★★最佳答案, 非常感謝！！ 2023-11-02 20:46:57

Title: Limit theorems for negatively superadditive-dependent random variables with infinite or finite means
Author(s): Wu, YF (Wu, Yongfeng)
Source: AIMS MATHEMATICS Volume: 8 Issue: 11 Pages: 25311-25324 DOI: 10.3934/math.20231291 Published: 2023
Times Cited in Web of Science Core Collection: 0
Total Times Cited: 0
Usage Count (Last 180 days): 1
Usage Count (Since 2013): 1
Cited Reference Count: 32
Abstract: The author studies the laws of large numbers for weighted sums of negatively superadditivedependent random variables. The obtained results in this paper extend and improve the corresponding theorems of Yang et al. [Commun. Stat. Theor. M., 48 (2019), 3044-3054]. Moreover, the author obtains a new theorem of mean convergence for weighted sums of negatively superadditive-dependent random variables, which was not considered in Yang et al. (2019).
Accession Number: WOS:001064646200001
Language: English
Document Type: Article
Author Keywords: law of large numbers; mean convergence; negatively superadditive-dependent
KeyWords Plus: COMPLETE MOMENT CONVERGENCE; WEIGHTED SUMS; SURE CONVERGENCE; QUADRATIC-FORMS; LARGE NUMBERS; WEAK LAWS; INEQUALITIES; ARRAYS
Addresses: [Wu, Yongfeng] Tongling Univ, Sch Math & Comp Sci, Tongling 244000, Peoples R China.
[Wu, Yongfeng] Chuzhou Univ, Sch Math & Finance, Chuzhou 239000, Peoples R China.
Corresponding Address: Wu, YF (corresponding author), Tongling Univ, Sch Math & Comp Sci, Tongling 244000, Peoples R China.
Wu, YF (corresponding author), Chuzhou Univ, Sch Math & Finance, Chuzhou 239000, Peoples R China.
E-mail Addresses: wyfwyf@126.com
Affiliations: Tongling University; Chuzhou University
Publisher: AMER INST MATHEMATICAL SCIENCES-AIMS
Publisher Address: PO BOX 2604, SPRINGFIELD, MO 65801-2604, UNITED STATES
Web of Science Index: Science Citation Index Expanded (SCI-EXPANDED)
Web of Science Categories: Mathematics, Applied; Mathematics
Research Areas: Mathematics
IDS Number: R5GZ7
eISSN: 2473-6988
29-char Source Abbrev.: AIMS MATH
ISO Source Abbrev.: AIMS Math.
Source Item Page Count: 14
Funding:
Funding Agency Grant Number
Social Sciences Planning Project of Anhui Province
AHSKY2018D98
This work is supported by the Social Sciences Planning Project of Anhui Province (AHSKY2018D98).

Open Access: gold
Output Date: 2023-10-31

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