Journal of the
Korean Mathematical Society
JKMS
Article
ALL ARTICLES
View
J. Korean Math. Soc. 2012; 49(6): 1097-1110
Printed November 1, 2012
https://doi.org/10.4134/JKMS.2012.49.6.1097
Copyright © The Korean Mathematical Society.
Convergence properties of the partial sums for sequences of end random variables
Yongfeng Wu and Mei Guan
Tongling University, Hefei University
The convergence properties of extended negatively dependent sequences under some conditions of uniform integrability are studied. Some sufficient conditions of the weak law of large numbers, the $p$-mean convergence and the complete convergence for extended negatively dependent sequences are obtained, which extend and enrich the known results in the literature.
Keywords: extended negative dependence random sequences, weak law of large numbers, $p$-mean convergence, complete convergence, uniform integrability
MSC numbers: 60F15
Article Tools
Stats or Metrics
Share this article on :
Related articles in JKMS
-
Weak laws of large numbers for arrays under a condition of uniform integrability
2008; 45(1): 289-300
-
Complete convergence for weighted sums of AANA random variables and its application in nonparametric regression models
2021; 58(2): 327-349
-
Complete $f$-moment convergence for extended negatively dependent random variables under sub-linear expectations
2020; 57(6): 1485-1508
-
On complete convergence for extended independent random variables under sub-linear expectations
2020; 57(3): 553-570
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd