非负区间密度函数的非对称Weibull核估计量的构造

The Construction of Asymmetric Weibull Kernel Estimator for Density Function on Nonnegative Interval

本文针对定义在非负区间上的密度函数的非对称核估计中Gamma核存在的惟一性,构造了非对称Weibull核估计量.给出了该估计量构造的全过程,研究了该估计量的基本统计性质,并与基于Gamma核的估计量进行了对比,说明了本文所构造估计量的优越性.

For the uniqueness of asymmetric Gamma kernel in the estimation of density function defined in nonnegative interval, this paper constructs the Asymmetric Weibull kernel estimator. This paper gives the whole procedure of construction, studies the statistical properties of the estimator,compares with the estimator based on Gamma kernel, and proves the superiority of estimator constructed in this paper.