Can I run a probit on survival time data? It's discrete-round, and I want to look at whether lagged variables affect the failure event. I am, however, getting negative coefficients for a probit regression, and I'm not sure that should be happening. Help?
Surely, you could run a logit, probit, or a cloglog model; in fact any appropriate binary model works well. The logit model (and to some extent the cloglog) model tend to be used more often, but this is only because of the familiarity of the users with these models.
See the following link for more details: https://files.nyu.edu/mrg217/public/btscs.pdf