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NQD样本下非参数回归函数最近邻密度估计的相合性
引用本文:赵琼,张艳丽.NQD样本下非参数回归函数最近邻密度估计的相合性[J].湖北师范学院学报(自然科学版),2009,29(1).
作者姓名:赵琼  张艳丽
作者单位: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
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.

关 键 词:NQD列  最近邻估计  相合性

The consistency of the nearest neighbor density estimator of the nonparametric regression function for pairwises negative quadrant dependence sequences
ZHAO Qiong,ZHANG Yan-Li.The consistency of the nearest neighbor density estimator of the nonparametric regression function for pairwises negative quadrant dependence sequences[J].Journal of Hubei Normal University(Natural Science),2009,29(1).
Authors:ZHAO Qiong  ZHANG Yan-Li
Institution:Department of Statistics and Applied Mathematics;Hubei University of Economics;Wuhan 430205;China;Institute of Statistics and Actuary;Shangdong Economic University;Jinan 250014;China
Abstract: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.
Keywords:negative quadrant dependent  nearest neighbor density estimator  consistency  
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