On complete moment convergence for weighted sums of AANA random variables

Title:

On complete moment convergence for weighted sums of AANA random variables

Creator:

Huang, Haiwu, Zhang, Hanjun, and Zhang, Qingxia

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:dce2d72f-12ae-4eb4-a78b-6b39b169b2d2
uuid:dce2d72f-12ae-4eb4-a78b-6b39b169b2d2

Subject:

AANA random variables, complete moment convergence, complete convergence, and weighted

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this work, a complete moment convergence theorem is obtained for weighted sums of asymptotically almost negatively associated (AANA) random variables without assumption of identical distribution under some mild moment conditions. As an application, the complete convergence theorems for weighted sums of negatively associated (NA) and AANA random variables are obtained. The result not only generalizes the corresponding ones of Sung \cite{15} and Huang et al. \cite{16}, but also improves them.

Language:

English

Rights:

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

Coverage:

[294]-306

Source:

Kybernetika | 2016 Volume:52 | Number:2

Harvested from:

CDK

Metadata only:

false