Hajek-Rényi-type Inequality and Strong Law of Large Numbers for Some Dependent Sequences  

作　　者：Wen-zhi YANG Yan SHEN Shu-he HU Xue-jun WANG 

机构地区：[1]School of Mathematical Science,Anhui University,Hefei 230039,China

出　　处：《Acta Mathematicae Applicatae Sinica》2012年第3期495-504,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 11171001, 11126176);Natural Science Foundation of Anhui Province (No. 1208085QA03);Provincial Natural Science Research Project of Anhui Colleges (No. KJ2010A005)

摘　　要：Abstract In this paper, we get the H^jek-R^nyi-type inequalities for a pairwise NQD sequence, an L^T （r 〉 1） mixingale and a linear process, which have the concrete coefficients. In addition, we obtain the strong law of large numbers, strong growth rate and the integrability of supremum for the above sequences, which generalize and improve Corollary 2 for L^T（r 〉 1） mixingale of Hansen.Abstract In this paper, we get the H^jek-R^nyi-type inequalities for a pairwise NQD sequence, an L^T （r 〉 1） mixingale and a linear process, which have the concrete coefficients. In addition, we obtain the strong law of large numbers, strong growth rate and the integrability of supremum for the above sequences, which generalize and improve Corollary 2 for L^T（r 〉 1） mixingale of Hansen.

关 键 词：Hajek-Renyi-type inequality pairwise NQD sequence L^r（r 〉 1） mixingale linear process 

分 类 号：O211.5[理学—概率论与数理统计] O211.4[理学—数学]