| ND样本下密度核估计的相合性 |
| |
| 引用本文： | 苏红柳,唐国强,孙国华. ND样本下密度核估计的相合性[J]. 桂林工学院学报, 2013, 0(3): 565-568 |
| |
| 作者姓名： | 苏红柳 唐国强 孙国华 |
| |
| 作者单位： | [1]桂林理工大学理学院,广西桂林541004 [2]桂林理工大学广西空间信息与测绘重点实验室,广西桂林541004 |
| |
| 基金项目： | 国家自然科学基金项目（11061012）;广西空间信息与测绘重点实验室基金项目（1103108-20）;桂林市科技局基金项目（20110120-5） |
| |
| 摘 要： | 设{Xn,n≥1}是同分布的ND随机变量序列,f（x）为其概率密度函数,基于x1,x2,…,Xn,对密度函数f（x）的核估计进行了讨论,根据ND序列的性质和不等式,在适当的条件下证明了其强相合和r阶矩相合.
|
| 关 键 词： | ND样本 密度函数核估计 相合性 |
Consistencies for Kernel-Type Density Estimation in ND Samples |
| |
| SU Hong-liu,TANG Guo-qiang,SUN Guo-hua. Consistencies for Kernel-Type Density Estimation in ND Samples[J]. Journal of Guilin University of Technology, 2013, 0(3): 565-568 |
| |
| Authors: | SU Hong-liu TANG Guo-qiang SUN Guo-hua |
| |
| Affiliation: | ( a. College of Science ; b. Guangxi Key Laboratory of Spatial Information and Gemomatics, Guilin Univercity of Technology, Guilin 541004, China) |
| |
| Abstract: | Let { Xn, n ≥ 1 } be a sequence of identically distributed and negatively dependent random variables with probability density function f（x）. Based on ND samples, the kernel-type density estimation is studied in this paper, According to the nature and the inequality of ND, strong consistency and the moment consistency are proved under suitable conditions. |
| |
| Keywords: | ND samples kernel-type density estimation strong consistency moment consistence |
| 本文献已被 维普 等数据库收录！ |
|
