中文摘要：

本文研究了一类有限混合Laplace分布回归模型的局部极大似然估计问题.利用核回归方法和最大化局部加权似然函数的EM算法,获得了参数函数的局部极大似然估计量,并讨论了它们的渐近偏差,渐近方差和渐近正态性.推广了有限混合回归模型下局部非参数估计的结果.

英文摘要：

In this paper,we study the local maximum likelihood estimations for a dinite mixture of regression models with Laplace distribution.By using the kernel regression method and the EM algorithm for maximizing the local weighted likelihood functions,we obtain the local maximum likelihood estimations of the parametric functions,and discuss their asymptotic biases,asymptotic variances and asymptotic normality,which extend the results of the local non-parametric estimations for the finite mixture of regression models.