Template:Example: Published 3P Weibull Distribution Grouped Suspension Data MLE Example: Difference between revisions

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==Weibull Distribution Example 17: 3-Parameter MLE with Right Censored Data==
'''Published 3P Weibull Distribution Grouped Suspension Data MLE Example'''


From Dallas R. Wingo, IEEE Transactions on Reliability Vol. R-22, No 2, June 1973, Pages 96-100 [37]:
From Dallas R. Wingo, IEEE Transactions on Reliability Vol. R-22, No 2, June 1973, Pages 96-100:


Wingo uses the following times-to-failure: 37, 55, 64, 72, 74, 87, 88, 89, 91, 92, 94, 95, 97, 98, 100, 101, 102, 102, 105, 105, 107, 113, 117, 120, 120, 120, 122, 124, 126, 130, 135, 138, 182. In addition, the following suspensions are used: 4 at 70, 5 at 80, 4 at 99, 3 at 121 and 1 at 150.
Wingo uses the following times-to-failure: 37, 55, 64, 72, 74, 87, 88, 89, 91, 92, 94, 95, 97, 98, 100, 101, 102, 102, 105, 105, 107, 113, 117, 120, 120, 120, 122, 124, 126, 130, 135, 138, 182. In addition, the following suspensions are used: 4 at 70, 5 at 80, 4 at 99, 3 at 121 and 1 at 150.


===Published Results for Weibull Distribution Example 17, using MLE===
 
'''Published Results (using MLE)'''


[[Image:example17formulamle.png|center]]
[[Image:example17formulamle.png|center]]


===Computed Results for Weibull Distribution Example 17, using MLE===
 
'''Computed Results in Weibull++'''


[[Image:example17formulamle2.png|center]]
[[Image:example17formulamle2.png|center]]


Note that you must have the Use True 3-P MLE on Weibull option in the Weibull++ User Setup selected to replicate these results.
Note that you must have the Use True 3-P MLE on Weibull option in the Weibull++ User Setup selected to replicate these results.

Revision as of 21:36, 29 February 2012

Published 3P Weibull Distribution Grouped Suspension Data MLE Example

From Dallas R. Wingo, IEEE Transactions on Reliability Vol. R-22, No 2, June 1973, Pages 96-100:

Wingo uses the following times-to-failure: 37, 55, 64, 72, 74, 87, 88, 89, 91, 92, 94, 95, 97, 98, 100, 101, 102, 102, 105, 105, 107, 113, 117, 120, 120, 120, 122, 124, 126, 130, 135, 138, 182. In addition, the following suspensions are used: 4 at 70, 5 at 80, 4 at 99, 3 at 121 and 1 at 150.


Published Results (using MLE)

Example17formulamle.png


Computed Results in Weibull++

Example17formulamle2.png

Note that you must have the Use True 3-P MLE on Weibull option in the Weibull++ User Setup selected to replicate these results.