New developments on local fitting semiparametric inference

本文的研究为阐明局部拟合半参数推断的理论性质及其在生物统计学中的应用做出了贡献。该研究已按照先前提交的研究计划取得进展。研究结果包括半参数广义线性混合模型中半参数光滑的渐近理论和光滑参数的选取。作为生物统计学应用中的重要结果，本文导出了线性和径向映射模型下的扩张分布结果，并应用于人胎协调发育的分析。

The research has contributed to the works to clarify theoretical properties of the local fitting semiparametric inferences and its application to biostatistics. The research has progressed according to the research plan previously submitted. The results of research include developing the asymptotic theory of semiparametric smoothing and the selection of smoothing parameters in the semiparametric generalized linear mixed model. As important results in the application to biostatistics, some distributional results of dilatation have been derived under linear and radial mapping models, which have been applied to the analysis of harmonized development of human fetuses.