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Survival Models - GR's website

Chapter 7 Survival ModelsOur final chapter concerns Models for the analysis of data which have threemain characteristics: (1) the dependent variable or response is the waitingtimeuntil the occurrence of a well-defined event, (2) observations arecen-sored, in the sense that for some units the event of interest has not occurredat the time the data are analyzed, and (3) there are predictors orexplanatoryvariables whose effect on the waiting time we wish to assess or control. Westart with some basic The Hazard and Survival FunctionsLetTbe a non-negative random variable representing the waiting time untilthe occurrence of an event. For simplicity we will adopt the terminologyof Survival analysis, referring to the event of interest as death and to thewaiting time as Survival time, but the techniques to be studied have muchwider applicability.

4 CHAPTER 7. SURVIVAL MODELS Integrating by parts, and making use of the fact that f(t) is the derivative of S(t), which has limits or boundary conditions S(0) = 1 and S(1) = 0,

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