Several people have asked me about books/readings on event history analysis (aka survival analysis). Here’s my recommendation, particularly for people with some prior familiarity with EHA:
Cleves, Mario, William W. Gould, and Roberto Gutierrez. 2004. An Introduction to Survival Analysis Using Stata, Revised Edition. Stata Press.
It has the best explanation of the difference between Cox (semi-parametric) models and parametric models.
It has the best explanation of the uses of constant rate (exponential) models.
It does a very good job explaining some other often-confused issues, such as the difference between “normal” and “accelerated failure time” models, and the different types of frailty models.
And, it explains how to do things in Stata, which I use in my classes. The only thing is that it doesn’t have substantive examples relevant to the social sciences.
That said, there are other very good books out there. Box-Steffensmeier and Jones (2004) brings some nice substantive examples in political science, and does a good job of explaining the merits of Cox models. The Blossfeld et al (2007) Stata book has great discussions of conceptual and research design issues — I always assign Chapter 10, which offers very helpful advice.
I also have lecture slides that some people have found helpful, both in my classes on advanced regression and my class on event history analysis: http://www.socsci.uci.edu/~schofer/teaching.html