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Survival Analysis Using SAS®: A Practical Guide by Paul D. Allison

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Alternative Distributions

In ordinary linear regression, the assumption of a normal distribution for the disturbance term is routinely invoked for a wide range of applications. Yet PROC LIFEREG allows for four additional distributions for ε: extreme value (2 parameter), extreme value (1 parameter), log-gamma, and logistic. For each of these distributions, there is a corresponding distribution for T:

Distribution of εDistribution of T
extreme value (2 par.)Weibull
extreme value (1 par.)exponential
log-gammagamma
logisticlog-logistic
normallog-normal

Incidentally, all AFT models are named for the distribution of T rather than the distribution of ε or log T. You might expect that since the logistic and normal lead to the log-logistic and log-normal, ...

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