研究AANA(asymptotically almost negatively associated)序列部分和的一类Prokhorov型完全收敛性.利用经典的截尾方法,以及关于AANA序列极大部分和的Rosenthal型矩不等式,获得了AANA序列部分和完全收敛性的较为广泛的充分性条件.作为推...研究AANA(asymptotically almost negatively associated)序列部分和的一类Prokhorov型完全收敛性.利用经典的截尾方法,以及关于AANA序列极大部分和的Rosenthal型矩不等式,获得了AANA序列部分和完全收敛性的较为广泛的充分性条件.作为推论,得到一个类似于独立同分布情形下的完全收敛性结果.展开更多
In this article, the strong laws of large numbers for array of rowwise asymptotically almost negatively associated(AANA) random variables are studied. Some sufficient conditions for strong laws of large numbers for ar...In this article, the strong laws of large numbers for array of rowwise asymptotically almost negatively associated(AANA) random variables are studied. Some sufficient conditions for strong laws of large numbers for array of rowwise AANA random variables are presented without assumption of identical distribution. Our results extend the corresponding ones for independent random variables to case of AANA random variables.展开更多
文摘研究AANA(asymptotically almost negatively associated)序列部分和的一类Prokhorov型完全收敛性.利用经典的截尾方法,以及关于AANA序列极大部分和的Rosenthal型矩不等式,获得了AANA序列部分和完全收敛性的较为广泛的充分性条件.作为推论,得到一个类似于独立同分布情形下的完全收敛性结果.
基金supported by the Natural Science Foundation of Anhui Province(1508085J06,1608085QA02)the Key Projects for Academic Talent of Anhui Province(gxbjZD2016005)+2 种基金the Science Research Project of Chuzhou University(2015GH35)the Quality Engineering Project of Anhui Province(2015jyxm045)the Quality Improvement Project for Undergraduate Education of Anhui University(ZLTS2015035)
基金Supported by the National Natural Science Foundation of China（lilT1001, 11201001） Supported by the Natural Science Foundation of Anhui Province（1208085QA03）+1 种基金 Supported by the Talents Youth Fund of Anhui Province Universities（2012SQRL204） Supported by th Doctoral Research Start-up Funds Projects of Anhui University（33190250）
文摘In this article, the strong laws of large numbers for array of rowwise asymptotically almost negatively associated(AANA) random variables are studied. Some sufficient conditions for strong laws of large numbers for array of rowwise AANA random variables are presented without assumption of identical distribution. Our results extend the corresponding ones for independent random variables to case of AANA random variables.
