王晓光

个人信息Personal Information

副教授

博士生导师

硕士生导师

性别:男

毕业院校:吉林大学

学位:博士

所在单位:数学科学学院

学科:概率论与数理统计. 金融数学与保险精算

办公地点:数学科学学院5楼

电子邮箱:wangxg@dlut.edu.cn

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Semiparametric estimation for the non-mixture cure model in case-cohort and nested case-control studies

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论文类型:期刊论文

发表时间:2020-04-01

发表刊物:COMPUTATIONAL STATISTICS & DATA ANALYSIS

收录刊物:EI、SCIE

卷号:144

ISSN号:0167-9473

关键字:Case-cohort; Nested case-control; Non-mixture cure model; Pseudo-maximum likelihood estimation; EM algorithm

摘要:Case-cohort and nested case-control designs are widely used strategies to reduce costs of covariate measurements in epidemiological cohort studies. A unified likelihood framework for two cohort designs is constructed and two statistical procedures are presented for making inference about the effects of incomplete covariates on the cumulative incidence of clinical event time. A pseudo-maximum likelihood estimation based on the sieve method is developed for the semiparametric non-mixture cure model, which can handle missing covariates and a cure fraction occurring in censored survival data. The resulting estimators are shown to be consistent and asymptotically normal in both case-cohort and nested case-control studies. In addition, for two cohort designs, an expectation-maximization (EM) algorithm is developed to simplify the maximization of the likelihood function with the Bernstein-based smoothing technique. Such a procedure would allow one to estimate the nonparametric component of the semiparametric model in closed form and relieve the computational burden. Simulation studies demonstrate that the proposed estimators have good properties in practical situations, and a motivating application to real data is provided to illustrate the methodology. (C) 2019 Elsevier B.V. All rights reserved.