Inverse Power Law Example: Difference between revisions

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===IPL-Weibull Example===
===IPL-Weibull Example===
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Consider the following times-to-failure data at two different stress levels.
Consider the following times-to-failure data at two different stress levels.
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<br>
[[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.]]
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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 and with a complete MLE solution over the entire data set using ReliaSoft's ALTA. The analysis yields:


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


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::<math>\widehat{K}=0.001022</math>
::<math>\widehat{K}=0.001022</math>


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::<math>\widehat{n}=1.327292</math>
::<math>\widehat{n}=1.327292</math>

Revision as of 02:02, 9 August 2012

IPL-Weibull Example

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 and with a complete MLE solution over the entire data set using ReliaSoft's ALTA. The analysis yields:

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