中文摘要：

讨论半参数模型的两种不同求解方法,并导出相应解的计算公式与精度评定公式。另外从偶然误差的特性出发,研究半参数模型估计量的有偏性、估计量的分布以及参数估计的均方误差等统计性质。模拟实验表明,在半参数模型补偿最小二乘估计中,只有在一定的准则下正确选择参数,才能得到参数、非参数与方差因子的最佳估计值。

英文摘要：

The semiparametric model is a combination of classical linear model and nonparametric regression model.The two didfferent computing methods on the resolution of the semiparametric model under the principle of penalized least squares are discussed and the computation formulas of the resolutions and estimate accuracy are detailed.On the basis of the statistic characteristics of random error,the statistic characteristics of the semiparametric model estimators are discussed about mathematical expection,variances of estimates and mean square error of the parameter estimate.Finally,a simulated example is demonstrated and some conclusions are drawn.