Mathematical Sciences: Topics in Semiparametric Inference, with Special Reference to Survival Analysis

半参数推断中若干问题的统计研究 将进行大部分与生存分析相关的研究， 几个具有连续性。连续测试将是 基于生存的相对尺度参数 双样本加速寿命截尾数据分析 模型该模型是半参数的，因为相对尺度 参数是参数化构件，而基线 分布是非参数分量。序贯有效 分数测试将开发这个问题作为一种替代 序贯对数秩检验更一般的版本将 也进行分析。估计也将在加速研究- 删失数据的生命模型设置将包括 生存期序贯临床试验中历时的研究 数据，由弱点引起的二元模型的推断， 比例平均剩余寿命模型的推断，加权U- 半参数模型中的统计，大样本“完备性”， 蒙特卡洛检验的序贯停止规则。

Statistical research on problems in semiparametric inference will be conducted with most relating to survival analysis and several with a sequential nature. Sequential tests will be constructed for the relative-scale parameter based on survival analysis data with censoring in a two-sample accelerated-life model. The model is semiparametric in that the relative scale parameter is a parametric component while the baseline distribution is a nonparametric component. Sequential effective score tests will be developed for this problem as an alternative to sequential logrank tests. More general versions of this will also be analyzed. Estimation will also be studied in accelerated- life models with censored data. The settings will include the study of elapsed time in sequential clinical trials on survival data, inference for bivariate models induced by frailties, inference for proportional-mean-residual-life models, weighted U- statistics in semiparametric models, large-sample "completeness", and sequential stopping rules for Monte Carlo tests.