WOD样本最近邻密度估计的相合性  

Consistency of nearest neighbor estimator of density function for widely orthant dependent samples

作　　者：刘振[1] 吴群英[1] 叶彩园[1] 

机构地区：[1]桂林理工大学理学院,广西桂林541004

出　　处：《桂林理工大学学报》2014年第4期791-796,共6页Journal of Guilin University of Technology

基　　金：国家自然科学基金项目(11361019);广西自然科学基金项目(2013GXNSFDA019001);广西高校人才小高地创新团队资助计划项目(桂教人(2011)47);广西研究生教育创新计划项目(YCSZ2012086)

摘　　要：利用WOD序列的指数不等式,在较弱条件下获得了WOD样本下最近邻密度估计fn∧(x)的相合性,并给出fn∧(x)的弱相合性、强相合性及速度的充分条件。将最近邻密度估计的相合性由NA样本推广到了WOD样本。The consistency of nearest neighbor density estimator fn∧（x）for widely orthant dependent samples un-der suitable conditions by widely upper orthant dependent exponential inequality is discussed in this paper. Some sufficient conditions for weak and strong consistency of the estimator fn∧（x）are given.The theory of this paper extends the consistency of nearest neighbor density estimator to the case of widely orthant dependent sam-ples.

关 键 词：WOD样本 最近邻密度估计 相合性 

分 类 号：O212.7[理学—概率论与数理统计]