ReliaSoft Articles Archive

 

Kaplan-Meier for Multiple Censored Data

Weibull Reference Examples Banner.png

This example validates the calculation for the Kaplan-Meier (KM) estimator for multiple censored data.


Reference Case

Table 3.2 on page 54 in the book Statistical Methods for Reliability Data by Dr. Meeker and Dr. Escobar, John Wiley & Sons, 1998.


Data

Number in State Last Inspected (Year) State F/S State End Time (Year)
4 0.01 F 1
99 0.01 S 1
5 1 F 2
95 1 S 2
2 2 F 3
95 2 S 3


Result

Number in State Last Inspected (Year) State F/S State End Time (Year) K-M Estimator (%)
4 0.01 F 1 1.33
5 1 F 2 3.84
2 2 F 3 5.82


Results in Weibull++

The coordinates of each point in the following plot shows the failure time and the corresponding Kaplan-Meier estimator of the probably of failure at each failure time.


KM Estimator.png