密度的核估计在统计中有着重要的应用.文章利用特征函数理论,得到了密度核估计的随机中心极限定理.利用Berry—Esseen估计得到了此中心极限定理的收敛速度.最后,给出了两个例子.
Using the theory of character function, we derived the random central limit theorem for kernel estimators of density,then we obtained the convergence rate of central limit theorem by using the Berry-Esseen estimator. Moreover, we give two examples.