# Relation between hazard function and Kaplan-Meier survival curves

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.

• 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. – EdM Apr 11 at 12:30