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.
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)
