Biomedical Engineering Reference
In-Depth Information
Chapter 7
Bayesian Inference of
Interval-Censored Survival Data
Xiaojing Wang
Google Inc., New York, USA
Arijit Sinha
Novartis Healthcare Pvt. Ltd., Hitech City, Hyderabad, India
Jun Yan
Department of Statistics, University of Connecticut, Storrs, Connecticut, USA
Ming-Hui Chen
Department of Statistics, University of Connecticut, Storrs, Connecticut, USA
7.1
Introduction :::::::::::::::::::::::::::::::::::::::::::::::::::::: 168
7.2
Bayesian Models ::::::::::::::::::::::::::::::::::::::::::::::::: 170
7.2.1
Notations :::::::::::::::::::::::::::::::::::::::::::::::: 170
7.2.2
Cox Model with Time-Varying Regression Coecients : 171
7.2.3
Piecewise Exponential Model for h
0
::::::::::::::::::::: 171
7.2.4
Gamma Process Prior Model for H
0
:::::::::::::::::::: 172
7.2.5
Autoregressive Prior Model for ::::::::::::::::::::::: 173
7.2.6
Dynamic Model for h
0
and ::::::::::::::::::::::::::: 174
7.3
Posterior Computation ::::::::::::::::::::::::::::::::::::::::::: 176
7.3.1
Sample Event Times ::::::::::::::::::::::::::::::::::::: 177
7.3.2
Sample Baseline Hazards and Regression Coecients :: 178
167
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