两两NQD序列密度函数核估计的强相合性

The Strong Consistency for the Kernel-type Density Eatimation in the Case of Pairwise NQD Sequences

两两NQD序列是一类重要的随机变量序列,NA序列就是它的一种特殊情况,{Xn,n≥1}为同分布的两两NQD随机变量序列,f(x)为X1的概率密度函数.基于样本X1,X2,……,Xn本文给出了密度函数f(x)的核估计,并证明了其强相合性。

Let be a sequence of identically and pairwise NQD with probability density function .Based on pairwise NQD sequences, the kernel estimator for is constructed, and the strong consistency are shown under suitable conditions.