Transcription of Parametric Survival Models - Princeton University
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Parametric Survival Models - Princeton University
Parametric Survival ModelsGerm an Rodr 2001; revised Spring 2005, Summer 2010We consider briefly the analysis of Survival data when one is willing toassume a Parametric form for the distribution of Survival Survival NotationLetTdenote a continuous non-negative random variable representing sur-vival time, with probability density function (pdf)f(t) and cumulative dis-tribution function (cdf)F(t) = Pr{T t}. We focus on thesurvival func-tionS(t) = Pr{T > t}, the probability of being alive att, and the hazardfunction (t) =f(t)/S(t). Let (t) = t0 (u)dudenote the cumulative (orintegrated) hazard and recall thatS(t) = exp{ (t)}.Any distribution defined fort [0, ) can serve as a Survival can also draft into service distributions defined fory ( , ) byconsideringt= exp{y}, so thaty= logt.]
Parametric Survival Models Germ an Rodr guez grodri@princeton.edu Spring, 2001; revised Spring 2005, Summer 2010 We consider brie y the analysis of survival data when one is willing to
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