NQD样本下非参数回归函数最近邻密度估计的相合性  

The consistency of the nearest neighbor density estimator of the nonparametric regression function for pairwises negative quadrant dependence sequences

作　　者：赵琼[1] 张艳丽[2] 

机构地区：[1]湖北经济学院统计与应用数学系,湖北武汉430205 [2]山东经济学院统计与数学学院,山东济南250014

出　　处：《湖北师范学院学报（自然科学版）》2009年第1期32-34,53,共4页Journal of Hubei Normal University(Natural Science)

摘　　要：在样本为平衡的两两NQD的情况下得到了非参数回归函数m(x)的最近邻估计mn(x)的相合性.得到弱相合的充分条件比在样本序列((xn,yn),n≥1)为平稳-混合情况下得到的mn(x)的弱相合性的充分条件弱.This paper obtain the consistency of the nearest neighbor density estimator of the nonparametric regression function for pairwises negative quadrant dependence sequences. We achieved the weak consistency under the weaker condition than in the bibliography the strong consistency under the same condition in the case of independent .

关 键 词：NQD列 最近邻估计 相合性 

分 类 号：O212.7[理学—概率论与数理统计]