|
|
| |
| Equivalent Conditions of Complete Convergence and Complete Moment Convergence for END Random Variables |
| |
Citation： |
Aiting SHEN,Mei YAO,Benqiong XIAO.Equivalent Conditions of Complete Convergence and Complete Moment Convergence for END Random Variables[J].Chinese Annals of Mathematics B,2018,39(1):83~96 |
| Page view： 1949
Net amount： 1519 |
Authors： |
Aiting SHEN; Mei YAO;Benqiong XIAO |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11501004, 11501005, 11526033), the
Natural Science Foundation of Anhui Province (No.1508085J06), the
Key Projects for Academic Talent of Anhui Province
(No.gxbjZD2016005), the Provincial Natural Science Research
Project of Anhui Colleges (No.KJ2015A018), the Open Project of
School of Mathematical Sciences, Anhui University (No.ADSY201503),
the Quality Engineering Project of Anhui Province (No.2015jyxm045)
and the Quality Improvement Projects for Undergraduate Education of
Anhui University (No.ZLTS2015035). |
|
|
| Abstract： |
In this paper, the complete convergence and the complete moment
convergence for extended negatively dependent (END, in short) random
variables without identical distribution are investigated. Under
some suitable conditions, the equivalence between the moment of
random variables and the complete convergence is established. In
addition, the equivalence between the moment of random variables and
the complete moment convergence is also proved. As applications, the
Marcinkiewicz-Zygmund-type strong law of large numbers and the
Baum-Katz-type result for END random variables are established. The
results obtained in this paper extend the corresponding ones for
independent random variables and some dependent random variables. |
Keywords： |
Extended negatively dependent random variables, Completeconvergence, Complete moment convergence |
Classification： |
60F15 |
|
|
Download PDF Full-Text
|
|
|
|
