The weak law of large numbers for weighted sums of <i>m</i> -asymptotic negatively associated random variables
In this article, we mainly investigate the Kolmogorov-Feller type weak law of large numbers for weighted sums of m-asymptotic negatively associated (m-ANA, for short) random variables. Some sufficient conditions to prove the Kolmogorov-Feller type weak law of large numbers are provided. The results obtained in this article extend the corresponding ones of Naderi, Boukhari, and Matula (2022) for negatively superadditive dependent (NSD, for short) random variables.
Authors
- Mei Yao
- Aiting Shen
- Yuan Ji (ORCID: https://orcid.org/0000-0002-9341-1161)
Institutions
- Anhui University (CN)
- Hefei University of Technology (CN)
Publication Details
- Journal
- Communication in Statistics- Theory and Methods
- Published
- 2024-10-25
- DOI
- https://doi.org/10.1080/03610926.2024.2409365
- Primary Topic
- Probability and Risk Models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Anhui Province