Lp $L_{p}$-convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in Rd $\mathbb{R}^{d}$

Lp $L_{p}$-convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in Rd $\mathbb{R}^{d}$

Abstract In this paper, based on the Rosenthal-type inequality for asymptotically negatively associated random vectors with values in Rd $\mathbb{R}^{d}$, we establish results on Lp $L_{p}$-convergence and complete convergence of the maximums of partial sums are established. We also obtain weak laws...

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Bibliographic Details
Main Author: Mi-Hwa Ko
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Journal of Inequalities and Applications
Subjects:
Asymptotically negative association
Random vectors
Rosenthal-type inequality
L p $L_{p}$ -convergence
Complete convergence
Weak laws of large numbers
Online Access:http://link.springer.com/article/10.1186/s13660-018-1699-6

Internet

http://link.springer.com/article/10.1186/s13660-018-1699-6

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