/math-b4a096d9d2236359a73b7386af0c9ab6.png?v=0 "t_i\,\!")
, i = 1, 2, 3, ..., n. denotes the ordered distinct time for the observed event occurred, the survivorship function can be calculate by:
The Kaplan-Meier estimate of the survival probabilities is a step function, let , i = 1, 2, 3, ..., n. denotes the ordered distinct time for the observed event occurred, the survivorship function can be calculate by:
/math-9bf3c537ab387d6dad1c1bec827fbdba.png?v=0 "\hat S(t)=\prod_{j=1}^i(\frac{n_j-d_j}{n_j})")
,
wheres /math-f3ce2b85302b64ebb3d18da47af2ed01.png?v=0 "n_j\,\!")
is the sample number at time /math-7cc0d443d5547c5d5b4fb665f1ee918b.png?v=0 "t_j\,\!")
and /math-8af40ae95282622e988a071d0a2adc39.png?v=0 "d_j\,\!")
is the number of observed events and censored observations at time .