检验两个部分线性模型中非参函数相等

We propose the test statistic to check whether the nonparametric func-tions in two partially linear models are equality or not in this paper. We estimate the nonparametric function both in null hypothesis and the alternative by the local linear method, where we ignore the parametric components, and then estimate the parameters by the two stage method. The test statistic is derived, and it is shown to be asymptotically normal under the null hypothesis.     

基于主成分回归的温度分布反演研究

多谱辐射测温是一种非接触温度测量方法,目前常用的多谱辐射测温只能反演出一个近似温度值,而无法给出实际的温度分布。针对此问题,基于普朗克定律,采用主成分回归算法,以强激光毁伤靶材温度测量为例,在脉冲能量为34.2 J的激光入射条件下,从热辐射谱中反演出近似温度值为2 700 K,拟合相对偏差为0.5%,当温度分布范围为2 600～2 800 K时,拟合相对偏差减小为0.13%,减小了温度反演偏差。首次给出了基于主成分回归方法的温度分布反演,提高了非接触式温度测量的表征精度。     

PLM中误差方差未知时的GLR

本文检验部分线性回归模型(PLM)中,误差的方差未知时,函数部分是否是线性函数,在备择假设下,先用局部多项式方法估计出函数部分,再估计参数部分.计算出了零假设下广义似然比(GLR)检验统计量的表达式,给出了它的渐近分布,并对结果进行了模拟.     

部分线性模型中的非参数部分的线性性检验

In this paper,we propose the test statistic to check whether the nonpara- metric function in partially linear models is linear or not.We estimate the nonpara- metric function in alternative by using the local linear method,and then estimate the parameters by the two stage method.The test statistic under the null hypothesis is calculated,and it is shown to be asymptotically normal.