| WOD样本密度函数和失效率函数递归核估计的逐点强相合性 |
| |
| 引用本文： | 李永明,应锐,蔡际盼,姚竟.WOD样本密度函数和失效率函数递归核估计的逐点强相合性[J].吉林大学学报(理学版),2015,53(6):1134-1138. |
| |
| 作者姓名： | 李永明 应锐 蔡际盼 姚竟 |
| |
| 作者单位： | 1. 上饶师范学院 数学与计算机科学学院, 江西 上饶 334001;2. 上饶师范学校, 江西 上饶 334000; 3. 广西师范学院 数学与统计科学学院, 南宁 530023 |
| |
| 摘 要： | 考虑同分布宽象限相依(WOD)随机样本未知密度函数的一类递归型密度核估计量.利用WOD序列的Rosenthal型不等式,在一定条件下证明了该估计量的逐点强相合性,并讨论了失效率函数估计的逐点强相合性.
|
| 关 键 词： | 宽象限相依(WOD)样本 递归密度核估计 失效率函数 逐点强相合 |
| 收稿时间： | 2015-04-30 |
Pointwise Strong Consistency of Recursive Kernel Estimator for Probability Density and Failure Rate Function under WOD Sequence |
| |
| LI Yongming,YING Rui,CAI Jipan,YAO Jing.Pointwise Strong Consistency of Recursive Kernel Estimator for Probability Density and Failure Rate Function under WOD Sequence[J].Journal of Jilin University: Sci Ed,2015,53(6):1134-1138. |
| |
| Authors: | LI Yongming YING Rui CAI Jipan YAO Jing |
| |
| Institution: | 1. School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001,Jiangxi Province, China; 2. Shangrao Normal School, Shangrao 334000, Jiangxi Province, China;3. School of Mathematics and Statistics, Guangxi Teachers Education University, Nanning 530023, China |
| |
| Abstract: | This paper deals with a kind of recursive density kernel estimator for unknown probability density function based on widely orthant dependent (WOD) sample. By the Rosenthal type inequality for WOD sequence, we studied the pointwise strong consistency for the given estimator under suitable conditions. As application, the consistency of the failure rate function estimatorwas discussed. |
| |
| Keywords: | widely orthant dependent (WOD) sample recursive kerenl estimator failure rate function pointwise strong consistency |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
