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Could someone please explain intuitively and mathematically the relation between hazard function and Kaplan-Meier survival curves?

If there is a relation, please give and example of deriving one from the other and other from the one.

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    $\begingroup$ This is done pretty clearly on the Wikipedia page, if you take the Kaplan-Meier curve as an estimate of the survival function $S(t)$. Please look that explanation over and edit this question to address anything that you still find confusing. $\endgroup$ – EdM Apr 11 at 12:30

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