END样本下边缘频率插值密度估计的一致强相合性

The uniformly strong consistency of edge frequency polygons density estimator for END samples

在END样本下,研究一种由Jones等于1998年提出的非参数密度估计:边缘频率插值密度估计.本研究利用Bernstein型不等式,在较弱的假设条件下,证明该估计的一致强相合性,并得到相应的收敛速度.所得结果推广和改进了文献已有结果.

The edge frequency polygon proposed by Jones et al in 1998 was considered as a nonparametric estimator for END samples.By the Bernstein type inequality,we proved the uniformly strong consistency of the estimator and obtained the corresponding rate under some mild conditions.The results extend and improve some existing ones in the literature.