This document provides examples of Weibull distribution analysis. The first example analyzes failure data with a shape parameter of 3.5, operating time of 2000 hours, test time of 7000 hours, and 3 tests with a reliability of 0.99. The analysis estimated a scale parameter of 7444.5 hours and a confidence level of 0.91. The second example analyzed 99 operating units with no failures and estimated a scale parameter of 10078.8 hours and a confidence level of 0.87.

1. Example 1
Weibull (m, s)
s=3.5
toper = 2000 hours
ttest = 7000 hours
ntest = 3
Roper=0.99
Result:
m = 7444.5
CL = 0.91
Example 2
{ ( )}
noper = 99 (no failure for Roper=0.99)
Result:
m = 10078.8
CL = 0.87