Survival function from probabilities of no event at time t

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To formulate a survival function from a sequence of probabilities of no event at each time t, one can multiply the probabilities of no event at each time point, assuming independence. Specifically, if P(i) represents the probability of no event at time i, the survival probability is calculated as P(1) x P(2) x ... x P(t). This approach relies on the independence of the probabilities. The discussion emphasizes the importance of understanding the relationship between survival and the probabilities of no event. The method outlined provides a clear way to derive the survival function from given probabilities.
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Hello World,

How can I formulate a survival function from a sequence of probabilities of no event at every time t, i.e P(0), P(1), P(2),...,P(t) where P(i), for i=0,1,...,t is the probability of no event at time i?

Thanks
 
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If you mean survival means no event and if the probabilities {P(i)} are all independent, then the probability of survival is simply P(1)xP(2)x...xP(t).
 
mathman said:
If you mean survival means no event and if the probabilities {P(i)} are all independent, then the probability of survival is simply P(1)xP(2)x...xP(t).

Awesome Mathman, thanks
 
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