# 17.6.1.2 Algorithms (Kaplan-Meier Estimator)

The Kaplan-Meier estimate of the survival probabilities is a step function, let $t_i\,\!$, i = 1, 2, 3, ..., n. denotes the ordered distinct time for the observed event occurred, the survivorship function can be calculate by:

$\hat S(t)=\prod_{j=1}^i(\frac{n_j-d_j}{n_j})$,

wheres $n_j\,\!$ is the sample number at time $t_j\,\!$ and $d_j\,\!$ is the number of observed events and censored observations at time $t_j\,\!$.