In this paper, we establish some Rosenthal type inequalities for maximum partial sums of asymptotically almost negatively associated random variables, which extend the corresponding results for negatively associated r...In this paper, we establish some Rosenthal type inequalities for maximum partial sums of asymptotically almost negatively associated random variables, which extend the corresponding results for negatively associated random variables. As applications of these inequalities, by employing the notions of residual Cesàro α-integrability and strong residual Cesàro α-integrability, we derive some results on Lp convergence where 1 < p < 2 and complete convergence. In addition, we estimate the rate of convergence in Marcinkiewicz-Zygmund strong law for partial sums of identically distributed random variables.展开更多
In this article, the authors study some limit properties for sequences of pairwise NQD random variables, which are not necessarily identically distributed. They obtain Baum and Katz complete convergence and the strong...In this article, the authors study some limit properties for sequences of pairwise NQD random variables, which are not necessarily identically distributed. They obtain Baum and Katz complete convergence and the strong stability of Jamison＇s weighted sums for pairwise NQD random variables, which may have different distributions. Some wellknown results are improved and extended.展开更多
In this paper, we consider the change-point estimation in the censored regression model assuming that there exists one change point. A nonparametric estimate of the change-point is proposed and is shown to be strongly...In this paper, we consider the change-point estimation in the censored regression model assuming that there exists one change point. A nonparametric estimate of the change-point is proposed and is shown to be strongly consistent. Furthermore, its convergence rate is also obtained.展开更多
THE NA （negatively associated） random variables are of considerable uses in system reliability and multivariate statistical analysis. Many authors have studied the limit properties for them. Definition 1. Random var...THE NA （negatively associated） random variables are of considerable uses in system reliability and multivariate statistical analysis. Many authors have studied the limit properties for them. Definition 1. Random variables X<sub>1</sub>,…,X<sub>n</sub>（n≥2） are called NA if for every two distinct nonempty subsets T<sub>1</sub> and T<sub>2</sub> of {1,…,n} and every pair of coordinatewise nondecreasing （or nonincreasing） functions f<sub>1</sub> and f<sub>2</sub>, there展开更多
In this paper, we consider hybrid algorithms for finding common elements of the set of common fixed points of two families quasi-C-non-expansive mappings and the set of solutions of an equilibrium problem. We establis...In this paper, we consider hybrid algorithms for finding common elements of the set of common fixed points of two families quasi-C-non-expansive mappings and the set of solutions of an equilibrium problem. We establish strong convergence theorems of common elements in uniformly smooth and strictly convex Banach spaces with the property （K）.展开更多
基金supported by National Natural Science Foundation of China (Grant No.10871217) the SCR of Chongqing Municipal Education Commission (Grant No.KJ090703)
文摘In this paper, we establish some Rosenthal type inequalities for maximum partial sums of asymptotically almost negatively associated random variables, which extend the corresponding results for negatively associated random variables. As applications of these inequalities, by employing the notions of residual Cesàro α-integrability and strong residual Cesàro α-integrability, we derive some results on Lp convergence where 1 < p < 2 and complete convergence. In addition, we estimate the rate of convergence in Marcinkiewicz-Zygmund strong law for partial sums of identically distributed random variables.
基金the National Natural Science Foundation of China(10671149)
文摘In this article, the authors study some limit properties for sequences of pairwise NQD random variables, which are not necessarily identically distributed. They obtain Baum and Katz complete convergence and the strong stability of Jamison＇s weighted sums for pairwise NQD random variables, which may have different distributions. Some wellknown results are improved and extended.
基金Research partially supported by National Natural Science Foundation of China(19631040),Ph. D.Program Foundation of Ministry of Education of China and Special Foundation of Academia Sinica.
基金This work was partially supported by the National Natural Science Foundation of China (Grant No. 10471136) Ph.D. Program Foundation of the Ministry of Education of ChinaSpecial Foundations of the Chinese Academy of Science and USTC.
文摘In this paper, we consider the change-point estimation in the censored regression model assuming that there exists one change point. A nonparametric estimate of the change-point is proposed and is shown to be strongly consistent. Furthermore, its convergence rate is also obtained.
文摘THE NA （negatively associated） random variables are of considerable uses in system reliability and multivariate statistical analysis. Many authors have studied the limit properties for them. Definition 1. Random variables X<sub>1</sub>,…,X<sub>n</sub>（n≥2） are called NA if for every two distinct nonempty subsets T<sub>1</sub> and T<sub>2</sub> of {1,…,n} and every pair of coordinatewise nondecreasing （or nonincreasing） functions f<sub>1</sub> and f<sub>2</sub>, there
基金Supported by the National Natural Science Foundation of China (No. 10771050)Scientific Research Program Funded by Shaanxi Provincial Education Department (No. 11JK0486)
文摘In this paper, we consider hybrid algorithms for finding common elements of the set of common fixed points of two families quasi-C-non-expansive mappings and the set of solutions of an equilibrium problem. We establish strong convergence theorems of common elements in uniformly smooth and strictly convex Banach spaces with the property （K）.
