Appendix G

Survival Analysis – An Introduction

(Sources: Greene [1], Cameron and Trivedi [2], and Le [3])

Suppose that the random variable img has a continuous probability distribution img, where img is a realization of img. The cumulative probability is

(G.1) equation

We will usually be more interested in the probability that the spell is of length at least img, which is given by the survival function

(G.2) equation

Consider the question: ‘Given that the spell has lasted until time img, what is the probability that it will end in the next short interval of time, say img?’ This is

(G.3)

A useful function for characterizing this aspect ...

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