1. Some limit theorems for m-pairwise negative quadrant dependent random variables
- Creator:
- Wu, Yongfeng and Peng, Jiang Yan
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- m-pairwise negative quadrant dependent, Marcinkiewicz-Zygmund inequality, Lr convergence, and complete convergence
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public