Appendix G
Survival Analysis – An Introduction
(Sources: Greene [1], Cameron and Trivedi [2], and Le [3])
Suppose that the random variable has a continuous probability distribution , where is a realization of . The cumulative probability is
(G.1)
We will usually be more interested in the probability that the spell is of length at least , which is given by the survival function
(G.2)
Consider the question: ‘Given that the spell has lasted until time , what is the probability that it will end in the next short interval of time, say ?’ This is
(G.3)
A useful function for characterizing this aspect ...