2P-Weibull MLE Solution for Multiple Right Censored Data

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2P-Weibull MLE Solution for Multiple Right Censored Data

This example compares the calculation for a 2-parameter Weibull MLE solution with likelihood ratio bound for right censored data.


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 [math]\displaystyle{ \hat{\beta}\,\! }[/math] is 2.035.
  • The B10 life [math]\displaystyle{ t_{0.1} \,\! }[/math] 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++:
2PW MLE right censored.png


  • The B10 life [math]\displaystyle{ t_{0.1} \,\! }[/math] with 95% 2-sided likelihood ratio bounds are shown next:
2PW MLE right censored QCP.png
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