-
作者：Zhang, Cun-Hui; Zhang, Stephanie S.
作者单位：Rutgers University System; Rutgers University New Brunswick; Columbia University
摘要：The purpose of this paper is to propose methodologies for statistical inference of low dimensional parameters with high dimensional data. We focus on constructing confidence intervals for individual coefficients and linear combinations of several of them in a linear regression model, although our ideas are applicable in a much broader context. The theoretical results that are presented provide sufficient conditions for the asymptotic normality of the proposed estimators along with a consistent...
-
作者：Zhou, Haibo; Xu, Wangli; Zeng, Donglin; Cai, Jianwen
作者单位：University of North Carolina; University of North Carolina Chapel Hill; Renmin University of China
摘要：Multiphased designs and biased sampling designs are two of the well-recognized approaches to enhance study efficiency. We propose a new and cost-effective sampling design, the two-phase probability-dependent sampling design, for studies with a continuous outcome. This design will enable investigators to make efficient use of resources by targeting more informative subjects for sampling. We develop a new semiparametric empirical likelihood inference method to take advantage of data obtained thr...
-
作者：Hothorn, Torsten; Kneib, Thomas; Buehlmann, Peter
作者单位：University of Munich; University of Zurich; University of Gottingen; Swiss Federal Institutes of Technology Domain; ETH Zurich
摘要：The ultimate goal of regression analysis is to obtain information about the conditional distribution of a response given a set of explanatory variables. This goal is, however, seldom achieved because most established regression models estimate only the conditional mean as a function of the explanatory variables and assume that higher moments are not affected by the regressors. The underlying reason for such a restriction is the assumption of additivity of signal and noise. We propose to relax ...
-
作者：Dette, Holger; Kiss, Christine; Benda, Norbert; Bretz, Frank
作者单位：Ruhr University Bochum; Novartis; Shanghai University of Finance & Economics
摘要：Dose finding studies often compare several doses of a new compound with a marketed standard treatment as an active control. In the past, however, research has focused mostly on experimental designs for placebo controlled dose finding studies. To the best of our knowledge, optimal designs for dose finding studies with an active control have not been considered so far. As the statistical analysis for an active controlled dose finding study can be formulated in terms of a mixture of two regressio...
