两两NQD序列下最近邻估计的渐近正态性

The Asymptotic Normality of the Nearest Neighbor Density Estimator Under Pairwises Negative Quadrant Denpendent Samples

研究最近邻密度估计在两两NQD序列情形下的渐近正态性.在适当的条件下,以两两NQR序列的中心极限定理为基础证明相关结论.在相依情形下对最近邻密度估计的渐近正态性给予了证明.推广了独立同分布和其他相依情形下最近邻密度估计的大样本性质.

The asymptotic normality of the nearest neighbor density estimator is concerned under pairwises NQD samples. Under certain conditions, central limit theorem of Pairwise NQD sequences is used to prove some conclusions. The asymptotic normality of the nearest neighbor density estimator under dependent samples is proved. All the studies together have promoted the concerned results in i. i. d case and other associations.