TY - JOUR
T1 - Probability inequalities for sums of WUOD random variables and their applications
AU - Chen, Lamei
AU - Wang, Kaiyong
AU - Gao, Miaomiao
AU - Dong, Yilun
N1 - Funding Information:
Acknowledgement. The authors wish to thank the referees and the Editor for their very valuable comments on an earlier version of this paper. This work is supported by the National Natural Science Foundation of China (No. 11401418), the 333 Talent Training Project of Jiangsu Province, the Jiangsu Province Key Discipline in the 13th Five-Year Plan, the Postgraduate Research & Practice Innovation Program of Jiangsu Province (No. KYCX17 2058).
Publisher Copyright:
© ELEMENT, Zagreb.
PY - 2019/3/1
Y1 - 2019/3/1
N2 - Let n be a positive integer, X 1 , .,X n be real-valued random variables and S n = Σ i=1 n X i . When X 1 , .,X n are widely upper orthant dependent, some inequalities for the tail probability of Sn have been given. The obtained results extend some existing results. As applications, the complete convergence of WOD random variables has been investigated.
AB - Let n be a positive integer, X 1 , .,X n be real-valued random variables and S n = Σ i=1 n X i . When X 1 , .,X n are widely upper orthant dependent, some inequalities for the tail probability of Sn have been given. The obtained results extend some existing results. As applications, the complete convergence of WOD random variables has been investigated.
KW - Complete convergence
KW - Inequalities
KW - Tail probability of sums
KW - Widely upper orthant dependence
UR - http://www.scopus.com/inward/record.url?scp=85065103304&partnerID=8YFLogxK
U2 - 10.7153/jmi-2019-13-14
DO - 10.7153/jmi-2019-13-14
M3 - Article
AN - SCOPUS:85065103304
SN - 1846-579X
VL - 13
SP - 187
EP - 203
JO - Journal of Mathematical Inequalities
JF - Journal of Mathematical Inequalities
IS - 1
ER -