New developments on local fitting semiparametric inference

本研究有助于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。研究工作按照之前提交的研究计划进行。研究成果包括建立了半参数平滑的渐近理论和半参数广义线性混合模型中平滑参数的选择。作为应用于生物统计学的重要结果，在线性和径向映射模型下得到了一些扩张的分布结果，并应用于人类胎儿协调发育的分析。

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.