Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables

Title:

Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables

Creator:

Huang, Haiwu, Zhang, Hanjun, Zhang, Qingxia, and Peng, Jiangyan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:07d35962-a667-40e9-a7b3-b87e41a0423b
uuid:07d35962-a667-40e9-a7b3-b87e41a0423b

Subject:

arrays of rowwise AANA rndom variables, complete convergence, Marcinkiewicz-Zygmund type strong law of large numbers, and weighted sums

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, the authors further studied the complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated (AANA) random variables with non-identical distribution under some mild moment conditions. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of AANA random variables is obtained. The results not only generalize the corresponding ones of Wang et al. \cite{Wang 8}, but also partially improve the corresponding ones of Huang et al. \cite{Huang 16}.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[960]-972

Source:

Kybernetika | 2015 Volume:51 | Number:6

Harvested from:

CDK

Metadata only:

false