TY - JOUR
T1 - Hájek-Rényi-Type Inequality for a Class of Random Variable Sequences and Its Applications
AU - Wang , Xuejun
AU - Shen , Yan
AU - Hu , Shuhe
AU - Yang , Wenzhi
JO - Communications in Mathematical Research 
VL - 1
SP - 6
EP - 16
PY - 2021
DA - 2021/05
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19102.html
KW - Hájek-Rényi-type inequality, associated random variable sequence,
strongly positive dependent stochastic sequence, martingale difference sequence.
AB - <p style="text-align: justify;">In this paper, we obtain the Hájek-Rényi-type inequality for a class of
random variable sequences and give some applications for associated random variable
sequences, strongly positive dependent stochastic sequences and martingale difference
sequences which generalize and improve the results of Prakasa Rao and Soo published
in Statist. Probab. Lett., 57(2002) and 78(2008). Using this result, we get the integrability of supremum and the strong law of large numbers for a class of random
variable sequences.</p>