Some limit theorems for m-pairwise negative quadrant dependent random variables

Title:

Some limit theorems for m-pairwise negative quadrant dependent random variables

Creator:

Wu, Yongfeng and Peng, Jiang Yan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d393b80c-cd79-41b6-8da1-b9bde95f9a0d
uuid:d393b80c-cd79-41b6-8da1-b9bde95f9a0d
doi:10.14736/kyb-2018-4-0815

Subject:

m-pairwise negative quadrant dependent, Marcinkiewicz-Zygmund inequality, Lr convergence, and complete convergence

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The authors first establish the Marcinkiewicz-Zygmund inequalities with exponent p (1≤p≤2) for m-pairwise negatively quadrant dependent (m-PNQD) random variables. By means of the inequalities, the authors obtain some limit theorems for arrays of rowwise m-PNQD random variables, which extend and improve the corresponding results in [Y. Meng and Z. Lin (2009)] and [H. S. Sung (2013)]. It is worthy to point out that the open problem of [H. S. Sung, S. Lisawadi, and A. Volodin (2008)] can be solved easily by using the obtained inequality in this paper.

Language:

English

Rights:

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

Source:

Kybernetika | 2018 Volume:54 | Number:4

Harvested from:

CDK

Metadata only:

false