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Complete convergence for arrays of rowwise <italic>m</italic><italic>n</italic>-extended negatively dependent random variables and its application.
- Source :
-
Communications in Statistics: Theory & Methods . Feb2024, p1-17. 17p. - Publication Year :
- 2024
-
Abstract
- Abstract.In this article, under some proper and sufficient conditions, we gave complete convergence for weighted sums and maximal weighted sums of arrays of rowwise <italic>m</italic><italic>n</italic>-extended negatively dependent (rowwise <italic>m</italic><italic>n</italic>-END) random variables, which is a new dependent structure. In addition, a relationship between {mn,n≥1} and moment condition for convergence is revealed in a sense. The results obtained in the article generalize some corresponding ones for independent and some dependent random variables. As an application, the strong consistency for the weighted estimator in a non parametric regression model is established. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03610926
- Database :
- Academic Search Index
- Journal :
- Communications in Statistics: Theory & Methods
- Publication Type :
- Academic Journal
- Accession number :
- 175739030
- Full Text :
- https://doi.org/10.1080/03610926.2024.2321172