WOLFRAM|DEMONSTRATIONS PROJECT

Fitting Lifetime Data to a Weibull Model

​
a new random test
1
maximum lifetime
1000
specimen number
7
No.
L(h)
x = logL
R(%)
F = R/100
y = loglog[1/(1-F)]
1
66.67
1.8240
9.46
0.0946
-1.3649
2
112.31
2.0504
22.97
0.2297
-0.9456
3
188.62
2.2756
36.49
0.3649
-0.7052
4
242.12
2.3840
50.00
0.5000
-0.5214
5
542.70
2.7346
63.51
0.6351
-0.3587
6
789.74
2.8975
77.03
0.7703
-0.1946
7
817.57
2.9125
90.54
0.9054
0.0104
Reliability analysis (or survival analysis) is a branch of statistics that deals with death in biological organisms and failure in mechanical or electronics systems, which may be within a localized test time. This topic is called reliability theory or reliability analysis in engineering, and duration analysis or duration modeling in economics or sociology.
This Demonstration shows how to analyze lifetime test data from data-fitting to a Weibull distribution function plot. The data fit is on a log-log plot using a least-squares fitting method. The results are presented as Weibull distribution CDF and PDF plots.