2P-Weibull MLE Solution for Multiple Right Censored Data
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This example validates the calculations for a 2-parameter Weibull MLE solution with likelihood ratio bound for right censored data in Weibull++ standard folios.
Reference Case
The data set in Table C.5 on page 633 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 |
|---|---|---|
| 288 | S | 50 |
| 148 | S | 150 |
| 1 | F | 230 |
| 124 | S | 250 |
| 1 | F | 334 |
| 111 | S | 350 |
| 1 | F | 423 |
| 106 | S | 450 |
| 99 | S | 550 |
| 110 | S | 650 |
| 114 | S | 750 |
| 119 | S | 850 |
| 127 | S | 950 |
| 1 | F | 990 |
| 1 | F | 1009 |
| 123 | S | 1050 |
| 93 | S | 1150 |
| 47 | S | 1250 |
| 41 | S | 1350 |
| 27 | S | 1450 |
| 1 | F | 1510 |
| 11 | S | 1550 |
| 6 | S | 1650 |
| 1 | S | 1850 |
| 2 | S | 2050 |
Result
The results are given on page 193 in Example 8.16.
- The MLE solution for
is 2.035. - The B10 life
is 3903. Its 95% 2-sided likelihood ratio bounds are [2093, 22, 144].
Results in Weibull++
- The following picture shows the MLE solutions in Weibull++:
- The B10 life
with 95% 2-sided likelihood ratio bounds are shown next:
