Inverse Power Law Example: Difference between revisions

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<noinclude>{{Banner ALTA Examples}}
''This example appears in the [[Inverse_Power_Law_(IPL)_Relationship#IPL-Weibull|Accelerated Life Testing Data Analysis Reference]] book.''


===IPL-Weibull Example===


</noinclude>
Consider the following times-to-failure data at two different stress levels.
Consider the following times-to-failure data at two different stress levels.


[[Image:chp8ex1table.png|center|300px|''Pdf'' of the lognormal distribution with different log-std values.]]
[[Image:chp8ex1table.png|center|300px|''Pdf'' of the lognormal distribution with different log-std values.]]


The data set was analyzed jointly and with a complete MLE solution over the entire data set using ReliaSoft's ALTA. The analysis yields:
 
The data set was analyzed jointly in an ALTA standard folio using the IPL-Weibull relationship model, with a complete MLE solution over the entire data set. The analysis yields:


::<math>\widehat{\beta }=2.616464</math>
::<math>\widehat{\beta }=2.616464</math>

Revision as of 01:46, 14 August 2012

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This example appears in the Accelerated Life Testing Data Analysis Reference book.


Consider the following times-to-failure data at two different stress levels.

Pdf of the lognormal distribution with different log-std values.


The data set was analyzed jointly in an ALTA standard folio using the IPL-Weibull relationship model, with a complete MLE solution over the entire data set. The analysis yields:

[math]\displaystyle{ \widehat{\beta }=2.616464 }[/math]
[math]\displaystyle{ \widehat{K}=0.001022 }[/math]
[math]\displaystyle{ \widehat{n}=1.327292 }[/math]