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密度核估计的广义相合性
Generalized Consistency for Kernel Density Estimation
【摘要】 研究独立样本下密度核估计的相合性.在Peason-χ~2距离和Kullback-Leibler距离意义下,提出密度核估计广义相合性的概念,并获得密度核估计的各种广义相合性.
【Abstract】 In this paper, we discuss the consistency of the density kernel estimation under the independent sample. We give the definitions of generalized consistency for kernel density estimation and obtain several kinds of generalized consistency of kernel density estimation under the Peason-χ~2 distance and the Kullback-Leibler distance.
【关键词】 Peason-χ2距离;
Kullback-Leibler距离;
密度核估计;
广义相合性;
【Key words】 Peason-χ2 distance; Kullback-Leibler distance; Density kernel estimation; Generalized consistency;
【Key words】 Peason-χ2 distance; Kullback-Leibler distance; Density kernel estimation; Generalized consistency;
【基金】 湖北省教育厅重点项目(D20112503)
- 【文献出处】 湖北文理学院学报 ,Journal of Hubei University of Arts and Science , 编辑部邮箱 ,2015年11期
- 【分类号】O212
- 【被引频次】2
- 【下载频次】39