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  4. A More Flexible Joint Latent Model for Longitudinal and Failure Time Data
 
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A More Flexible Joint Latent Model for Longitudinal and Failure Time Data

Date Issued
2005
Date
2005
Author(s)
Lu, Wei-Cheng
DOI
en-US
URI
http://ntur.lib.ntu.edu.tw//handle/246246/59494
Abstract
In this thesis, a more flexible and easily explained joint latent varying-coefficient model is used to model the relationship between time-dependent responses and a failure time. Here, the dependence mechanism within time-dependent responses, between time-dependent responses and a failure time, and the heterogeneity among different subjects on time-dependent responses and failure times are established through a non-parametric latent process. Based on the longitudinally measured responses and survival time data, we mainly propose an estimation procedure for the time-dependent parameter functions. In our estimation approach, the parameter functions are first approximated via the corresponding basis function expansions. Trough the estimates of parameters in the basis function expansions, the estimated parameter functions are then obtained. Moreover, the asymptotic risks of the estimated functions are developed in this study. A Monte-Carlo simulation is conducted to examine the finite sample properties of the proposed estimated functions. Finally, some additional topics of interest are considered and a possible extension of our proposed model to more complicated joint processes is discussed.
Subjects
存活時間
長期追蹤資料
基底展式
潛藏因子
變異係數模型
basis expansion
failure time
latent variable
longitudinal measurements
varying-coefficient
Type
thesis
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ntu-94-R91221014-1.pdf

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(MD5):3c21b6d19f7f18fc9ce855cc20c7628b

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