%0 Journal Article
%T THE CONSISTENCIES FOR THE KERNEL-TYPE DENSITY ESTIMATON IN THE CASE OF NA SAMPLES<br>NA样本概率密度函数核估计的相合性
%A Lai Sheng WEI
%A <br>韦来生
%J 系统科学与数学
%D 2001
%I 
%X Let be a sequence of identically distributed and negatively associated (NA) variables with probability density function f(x). Based on NA samples, the kernel estimator for f(x) is constructed, and the consistency in r-order mean, the pointwise strong consistency and strong uniform consistency are shown under suitable conditions. Finally) as the application in reliability problems, the empirical survival function and the kernel-type failure rate estimator are proposed, and the relative consistencies are disscussed.
%K NA samples
%K kernel density function estimation
%K consistency
%K failure rate estimator<br>NA样本
%K 密度函数核估计
%K 相合性
%K 失效率估计.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=BCA5797972383162&yid=14E7EF987E4155E6&vid=659D3B06EBF534A7&iid=CA4FD0336C81A37A&sid=CB62D51B802DA730&eid=6C72895ABA0F5343&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=15&reference_num=9