In this paper,by utilizing the Marcinkiewicz-Zygmund inequality and Rosenthal-type inequality of negatively superadditive dependent(NSD)random arrays and truncated method,we investigate the complete f-moment convergen...In this paper,by utilizing the Marcinkiewicz-Zygmund inequality and Rosenthal-type inequality of negatively superadditive dependent(NSD)random arrays and truncated method,we investigate the complete f-moment convergence of NSD random variables.We establish and improve a general result on the complete f-moment convergence for Sung’s type randomly weighted sums of NSD random variables under some general assumptions.As an application,we show the complete consistency for the randomly weighted estimator in a nonparametric regression model based on NSD errors.展开更多
利用负超可加相依(NSD)随机阵列的Rosenthal型矩不等式和截尾方法,在随机阵列{X nk,1≤k≤k n,n≥1}关于{a nk,1≤k≤k n,n≥1}一致可积的条件下,讨论NSD随机阵列加权和最大值max 1≤j≤k n∑j k=1 a nk X nk-E∑j k=1 a nk X nk的弱收...利用负超可加相依(NSD)随机阵列的Rosenthal型矩不等式和截尾方法,在随机阵列{X nk,1≤k≤k n,n≥1}关于{a nk,1≤k≤k n,n≥1}一致可积的条件下,讨论NSD随机阵列加权和最大值max 1≤j≤k n∑j k=1 a nk X nk-E∑j k=1 a nk X nk的弱收敛、L r收敛和完全收敛性.展开更多
基金supported by the National Social Science Fundation(Grant No.21BTJ040)the Project of Outstanding Young People in University of Anhui Province(Grant Nos.2023AH020037,SLXY2024A001).
文摘In this paper,by utilizing the Marcinkiewicz-Zygmund inequality and Rosenthal-type inequality of negatively superadditive dependent(NSD)random arrays and truncated method,we investigate the complete f-moment convergence of NSD random variables.We establish and improve a general result on the complete f-moment convergence for Sung’s type randomly weighted sums of NSD random variables under some general assumptions.As an application,we show the complete consistency for the randomly weighted estimator in a nonparametric regression model based on NSD errors.
文摘利用负超可加相依(NSD)随机阵列的Rosenthal型矩不等式和截尾方法,在随机阵列{X nk,1≤k≤k n,n≥1}关于{a nk,1≤k≤k n,n≥1}一致可积的条件下,讨论NSD随机阵列加权和最大值max 1≤j≤k n∑j k=1 a nk X nk-E∑j k=1 a nk X nk的弱收敛、L r收敛和完全收敛性.
基金Supported by Natural Science Foundation of Anhui Province (1808085MA04)Natural Science Foundation of Department of Education of A nhui Province(KJ2017A362)
