Limit theorems for negatively superadditive-dependent random variables with infinite or finite means-Reference-Cited by-同舟云学术

Limit theorems for negatively superadditive-dependent random variables with infinite or finite means

Published:2023 Issue:11 Volume:8 Page:25311-25324
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Wu Yongfeng¹²

Affiliation:

1. School of Mathematics and Computer Science, Tongling University, Tongling 244000, China

2. School of Mathematics and Finance, Chuzhou University, Chuzhou 239000, China

Abstract

<abstract><p>The author studies the laws of large numbers for weighted sums of negatively superadditive-dependent 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).</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference32 articles.

1. J. H. B. Kemperman, On the FKG-inequalities for measures on a partially ordered space, Indagat. Math., 80 (1977), 313–331. https://doi.org/10.1016/1385-7258(77)90027-0

2. T. Z. Hu, Negatively superadditive dependence of random variables with applications, Chinese J. Appl. Probab. Statist., 16 (2000), 133–144.

3. K. J. Dev, F. Proschan, Negative association of random variables with applications, Ann. Statist., 11 (1983), 286–295. https://doi.org/10.1214/aos/1176346079

4. T. C. Christofides, E. Vaggelatou, A connection between supermodular ordering and positive/negative association, J. Multivariate Anal., 88 (2004), 138–151. https://doi.org/10.1016/s0047-259x(03)00064-2

5. N. Eghbal, M. Amini, A. Bozorgnia, Some maximal inequalities for quadratic forms of negative superadditive dependence random variables, Statist. Probabil. Lett., 80 (2010), 587–591. https://doi.org/10.1016/j.spl.2009.12.014