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作者：Yongfeng Wu 题目：Limit theorems for negatively superadditive-dependent random variables with infinite or finite means doi: 10.3934/math.20231291 |
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【答案】应助回帖
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wyfwywyf: 金币+10, ★★★★★最佳答案, 非常感谢！！ 2023-11-02 20:46:57
wyfwywyf: 金币+10, ★★★★★最佳答案, 非常感谢！！ 2023-11-02 20:46:57
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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 |
2楼2023-10-31 20:12:03