Weibull++ Standard Folio Data 3P-Weibull: Difference between revisions

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| align="center" valign="middle" | [http://www.reliawiki.com/index.php/The_Weibull_Distribution The Weibull Distribution]
| align="center" valign="middle" | [http://www.reliawiki.com/index.php/The_Weibull_Distribution The Weibull Distribution]
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| align="center" valign="middle" | [http://www.reliawiki.com/index.php/Weibull_Examples_3P See Examples...]
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Revision as of 20:38, 7 February 2012

Reliability Web Notes

The 3-parameter Weibull pdf is given by:

[math]\displaystyle{ f(t)={ \frac{\beta }{\eta }}\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta }} \,\! }[/math]

where:

[math]\displaystyle{ f(t)\geq 0,\text{ }t\geq \gamma \,\! }[/math]
[math]\displaystyle{ \beta\gt 0\ \,\! }[/math]
[math]\displaystyle{ \eta \gt 0 \,\! }[/math]
[math]\displaystyle{ -\infty \lt \gamma \lt +\infty \,\! }[/math]

and:

[math]\displaystyle{ \eta= \,\! }[/math] scale parameter, or characteristic life
[math]\displaystyle{ \beta= \,\! }[/math] shape parameter (or slope)
[math]\displaystyle{ \gamma= \,\! }[/math] location parameter (or failure free life)
The Weibull Distribution


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