【摘要】 将k近邻方法应用到经验似然方法中,并以此来研究函数型数据下,半函数部分线性模型的估计问题.通过构造参数分量的对数经验似然比函数,得到该经验对数似然比依分布收敛于χ~2分布,同时给出了非参数部分的估计值和收敛速度,并给出了经验似然方法在模拟研究中的应用.更多还原

【Abstract】 kNN method is used to study the estimation problem of semi-functional partial linear models under functional data with developed empirical likelihood method.The empirical log-likelihood ratios of the parameters of the model are constructed.And the proposed empirical log-likelihood ratios are asymptotic standard Chi-squared, and uniform almost-complete convergence with rates for the estimator of non-parametric part is given.Then a simulation study ia carried out to indicate the proposed methods.更多还原