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 l...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.展开更多
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)
文摘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.