中國科學院林存潔教授“偏置數(shù)據(jù)和治療參數(shù)估計的半?yún)��?shù)模型”右審查和長度偏置數(shù)據(jù)的分析是普遍存在隊列研究經(jīng)常遇到。長度偏置數(shù)據(jù)的特殊結(jié)構(gòu)不同于傳統(tǒng)的存活數(shù)據(jù)和方法為傳統(tǒng)的存活數(shù)據(jù)的結(jié)構(gòu)不能被直接應(yīng)用到長度偏置數(shù)據(jù)自獨立結(jié)尾假設(shè)經(jīng)常使用偏差抽樣的存在。我們提出了不同的系數(shù)轉(zhuǎn)換模型和半?yún)��?shù)變系數(shù)模型分析的長度偏置抽樣下的人口生存時間的協(xié)變量的影響。在另一方面，治療是在生存分析，產(chǎn)業(yè)制造，臨床醫(yī)學和許多其他應(yīng)用比較兩個樣本數(shù)據(jù)的一個重要指標。我們提出了一個單向網(wǎng)絡(luò)版半?yún)��?shù)的方法來估算下與邏輯回歸模型的假設(shè)情況下，控制抽樣方案的治療類型。在這里，我們允許估算功能不順暢方面的參數(shù)。我們證明，基于估計方程的估計是一致的，漸近正常和經(jīng)驗對數(shù)似然比統(tǒng)計有限制縮放卡方分布。以下是原文。

　　Semiparametric model for right-censored length-biased data andsemiparametric estimation of treatment effects

　　Analysis of right-censored and length-biased data is commonly encountered in prevalent cohort studies. The special structure of length-biased data is different from the structure of traditional survival data and the methods for traditional survival data cannot be directly applied to length-biased data since the independent censoring assumption is often violated in the presence of biased sampling. We propose the varying-coefficient transformation model and semiparametric varying-coefficient model analyzing the covariate effects on the population survival time under length-biased sampling. On the other hand, treatment effect is an important index in comparing two-sample data in survival analysis, industry manufacture, clinical medicine and many other applications. We propose a unified semiparametric approach to estimate different types of treatment effects under a case-control sampling plan with the logistic regression model assumption. Here, we allow that the estimating functions are not smooth with respect to parameters. We prove that the estimator based on the estimating equation is consistent and asymptotically normal and the empirical log-likelihood ratio statistic has a limiting scaled chi-square distribution.