Weibull++ Standard Folio Data Gumbel: Difference between revisions

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The Gumbel...
The Gumbel...
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<br><math> f(T)={ \frac{\beta }{\eta }}\left( {\frac{T}{\eta }}\right) ^{\beta -1}e^{-\left( { \frac{T}{\eta }}\right) ^{\beta }} \,\!</math>
<br><math> f(T)={ \frac{\beta }{\eta }}\left( {\frac{T}{\eta }}\right) ^{\beta -1}e^{-\left( { \frac{T}{\eta }}\right) ^{\beta }} \,\!</math>
<br>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.<br>  
<br>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.<br>  
<br><math> \beta= </math> shape parameter (or slope).
<br><math> \beta= </math> shape parameter (or slope).
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| align="center" valign="middle" | [http://www.reliawiki.com/index.php/The_Weibull_Distribution Gumbel Distribution]
| valign="middle" | [http://www.reliawiki.com/index.php/The_Weibull_Distribution Gumbel Distribution]
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| align="center" valign="middle" | [http://www.reliawiki.com/index.php/Template:Gumbel_distribution_example See Examples...]
| valign="middle" | [http://www.reliawiki.com/index.php/Template:Gumbel_distribution_example See Examples...]
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Revision as of 20:46, 8 February 2012

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Reliability Web Notes

Weibull Folio Gumbel
Weibull++ Life Data Analysis

The Gumbel...


[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).

Gumbel Distribution
See Examples...


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