【摘要】 设 { Xn,n 1}为同分布的 NA或 PA随机变量序列 ,f (x)为 X1 概率密度函数 ,基于样本 X1 ,X2 ,… ,Xn,本文对密度函数 f (x)的核估计进行了讨论 ,在适当条件下证明了其强相合和 r阶矩相合 .更多还原

【Abstract】 Let {X n, n≥1} be a sequence of negatively or positively associated random variables with identity distribution, f(x) be the probability density function of X 1. In this paper, the consistency of the density kernel estimator is studied. And the strong consistency and the moment consistency are proved under suitable conditions.更多还原