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1P-Weibull with Zero Failure Data |
This example validates the calculations for a 1-parameter Weibull with zero failure data in Weibull++ standard folios.
Reference Case
The data set from Table 8.2 on page 196 of the book Statistical Methods for Reliability Data by Dr. Meeker and Dr. Escobar, John Wiley & Sons, 1998 is used.
Data
| Number in State | State F or S | Time to Failure |
|---|---|---|
| 10 | S | 500 |
| 12 | S | 1000 |
| 8 | S | 1500 |
| 9 | S | 2000 |
| 7 | S | 2500 |
| 9 | S | 3000 |
| 6 | S | 3500 |
| 3 | S | 4000 |
Result
The formulas for calculating the [math]\displaystyle{ \eta \,\! }[/math] at a given confidence level of [math]\displaystyle{ 1 - \alpha\,\! }[/math] is on page 195.
The 95% lower confidence bound on [math]\displaystyle{ \eta \,\! }[/math] when [math]\displaystyle{ \beta = 2\,\! }[/math] is:
Results in Weibull++
The following picture shows the result in Weibull++:
