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Complete convergence for randomly weighted sums of dependent random variables and an application.
- Source :
-
Communications in Statistics: Theory & Methods . Oct2023, p1-19. 19p. - Publication Year :
- 2023
-
Abstract
- Abstract. In this article, we establish complete convergence for randomly weighted sums of negatively orthant-dependent random variables. We also establish complete convergence for the maximums of randomly weighted sums of negatively associated random variables. As a corollary, a Marcinkiewicz-Zygmund-type strong law for randomly weighted sums of negatively associated random variables is obtained. The results can be applied to the bootstrap sample means, and an open problem in a convergence rate of the bootstrap sample means posed by CsörgÅ‘ (2004) is solved completely. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03610926
- Database :
- Academic Search Index
- Journal :
- Communications in Statistics: Theory & Methods
- Publication Type :
- Academic Journal
- Accession number :
- 173360094
- Full Text :
- https://doi.org/10.1080/03610926.2023.2262636