嵌套数据下密度核估计的r阶均方相合性

On consistence inr -th mean of kernel density estimation under embeded data

密度核估计是一种具有广泛应用领域的非参数统计方法,在Parzen给出的一个基本引理的基础上,给出嵌套数据结构下密度核估计的r阶均方相合性及一致均方相合性.

Kernel density estimation is a nonparametric method which can be widely used in many fields. On the basis of improving a lemma brought up by Parzen, given the consistence and uniform consistence in r -th order mean of kernel density estimation under embeded data.