Inverse Power Law Example

From ReliaWiki
Revision as of 01:48, 14 August 2012 by Kate Racaza (talk | contribs) (moved Inverser Power Law Example to Inverse Power Law Example: incorrect spelling)
Jump to navigation Jump to search
ALTA Examples Banner.png


New format available! This reference is now available in a new format that offers faster page load, improved display for calculations and images and more targeted search.

As of January 2024, this Reliawiki page will not continue to be updated. Please update all links and bookmarks to the latest references at ALTA examples and ALTA reference examples.




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]