Weibull++ Standard Folio Data Gumbel: Difference between revisions

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The Weibull distribution is one of the most widely used lifetime distributions in reliability engineering. It can model an increasing, decreasing and or constant failure rate behavior. The 2-parameter Weibull is the most commonly used form of the distribution. It's pdf is given by:
 
The Gumbell...
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Revision as of 16:58, 20 December 2011

Reliability Web Notes

Weibull Folio
Life Data Analysis

The Gumbell...


[math]\displaystyle{ f(T)={ \frac{\beta }{\eta }}\left( {\frac{T}{\eta }}\right) ^{\beta -1}e^{-\left( { \frac{T}{\eta }}\right) ^{\beta }} \,\! }[/math]
Beta is the shape parameter or slope. Values less than one incicate a decreasing failure rate, greater then one an increasing failure rate, and when one a constant failure rate. Eta is the scale parameter, or characteristic life. Eta represents the time by which 63.2% of the units fail.

[math]\displaystyle{ \beta= }[/math] shape parameter (or slope).

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