演講公告

東海大學統計學系學術演講20180605

公告時間:2018-05-31 10:41:01
公告單位:統計學系

 

 

東海大學統計學系學術演講

間:10765日(星期二下午14:10~15:00

點:管理學院新大樓M146

主講人:陳瓊梅        副教授(陽明大學公共衛生研究所)

題:Maximum likelihood estimation for semiparametric transformation models with interval-censored data in the presence of a cure fraction    

Abstract

Mixed case interval censored data arise when the event of interest is known only to occur within an interval induced by a sequence of random examination times. Such data are commonly encountered in disease research with longitudinal follow-up. Furthermore, the medical treatment has progressed over the last decade with an increasing proportion of patients being cured for many types of diseases. Thus, interest has grown in cure models for survival data which hypothesize a certain proportion of subjects in the population are not expected to experience the events of interest. In this article, this work considers a two-component mixture cure model for regression analysis of mixed interval censored data. The first component is a logistic regression model that describes the cure rate, and the second component is a semiparametric transformation model that describes the distribution of event time for the uncured subjects. This work proposes semiparametric maximum likelihood estimation for the considered model. This work develops an EM type algorithm for obtaining the semiparametric maximum likelihood estimators (SPMLE) of regression parameters and establish their large sample properties. Extensive simulation studies indicate that the SPMLE performs satisfactorily in a wide variety of settings. A medical study is provided for illustration.

Keywords: EM algorithm; Interval-censored data; mixture cure models; semiparametric maximum likelihood estimator; semiparametric transformation model

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