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SURVIVAL ANALYSIS WITH TIME DEPENDENT FRAILTY USING A LONGITUDINAL MODEL
Authors:C.A. McGilchrist   K.K.W. Yau
Affiliation:National Centre for Epidemiology and Population Health, The Australian National University, Canberra, ACT 0200.;Dept of Applied Statistics and Operations Research, City University of Hong Kong, 83 Tat Chee Ave, Kowloon, Hong Kong.
Abstract:A method of estimation for generalised mixed models is applied to the estimation of regression parameters in a proportional hazards model with time dependent frailty. A parameter representing change over time is introduced and is modelled in turn into a fixed effect, a normally distributed random effect and a longitudinal effect in which the random component relates to the patient characteristics. Both maximum likelihood and residual maximum likelihood estimators are given.
Keywords:Multivariate failure time    time dependent frailty    longitudinal model    ML    REML
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