r - Survival Curve - Probability of survival from time t(x) to t(y) -


i new survival analysis , have seems easy/dumb question. have fitted survival curve in r t(1) t(36). understanding survival functiion probability of survival time1 time36(curve). however, interested in survival time(x) time(36). there way probability?

the survival function tells probability of survival beyond given time s(t) = p(t > t) t (random) time of "death". why s(t1) = 1 since "alive" @ beginning of observation period (so kind of "surviving" moment already). therefore fitted function not probability of survival t = t1 t = t5. rather, s(t5) tells probability of survive beyond t_max (sorry if misunderstood).

since survival function integral measure, easier think process in terms of time of death (the random variable t). if interested in survival beyond time t3 (i.e. p(t > t3)) s(t3). of course less 1 because can die between time 0 , time t3.

on other hand, if question "what probability survive beyond t5 if not dead t3?", talking conditional probability p(t > t5 | t > t3) want (new) s1(t3) 1. in case need re-scale s(t5) s(t3).


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