吉林大学学报(理学版)Issue(6):1134-1138,5.DOI:10.13413/j.cnki.jdxblxb.2015.06.10
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
Pointwise Strong Consistency of Recursive Kernel Estimator for Probability Density and Failure Rate Function under WOD Sequence
摘要
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 estimator was discussed.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Key words
widely orthant dependent (WOD ) sample/recursive kerenl estimator/failure rate function/pointwise strong consistency分类
数理科学引用本文复制引用
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,(6):1134-1138,5.基金项目
国家自然科学基金(批准号:11461057)和江西省自然科学基金(批准号:20122BAB201007) (批准号:11461057)