Inverse Power Law Example: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
(Created page with '==IPL Example== <br> Consider the following times-to-failure data at two different stress levels. <br> <br> [[Image:chp8ex1table.gif|thumb|center|300px|''Pdf'' of the lognormal …')
 
Line 12: Line 12:


<br>
<br>
::<math>\widehat{\beta }=2.61647</math>
::<math>\widehat{\beta }=2.616464</math>


<br>
<br>
::<math>\widehat{K}=0.00102241</math>
::<math>\widehat{K}=0.001022</math>


<br>
<br>
::<math>\widehat{n}=1.32729123</math>
::<math>\widehat{n}=1.327292</math>

Revision as of 18:29, 15 February 2012

IPL 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]