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Multivariate Survival Trees: A Maximum Likelihood Approach Based on Frailty Models
Author(s) -
Su Xiaogang,
Fan Juanjuan
Publication year - 2004
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.0006-341x.2004.00139.x
Subject(s) - multivariate statistics , regression , tree (set theory) , computer science , statistics , maximum likelihood , artificial intelligence , mathematics , machine learning , mathematical analysis
Summary. A method of constructing trees for correlated failure times is put forward. It adopts the backfitting idea of classification and regression trees (CART) (Breiman et al., 1984, in Classification and Regression Trees ). The tree method is developed based on the maximized likelihoods associated with the gamma frailty model and standard likelihood‐related techniques are incorporated. The proposed method is assessed through simulations conducted under a variety of model configurations and illustrated using the chronic granulomatous disease (CGD) study data.