Weibull++ Standard Folio Data 3P-Weibull: Difference between revisions
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<br><math> f(T)={ \frac{\beta }{\eta }}\left( {\frac{T-\gamma}{\eta }}\right) ^{\beta -1}e^{-\left( { \frac{T-gamma}{\eta }}\right) ^{\beta }} \,\!</math> | <br><math> f(T)={ \frac{\beta }{\eta }}\left( {\frac{T-\gamma}{\eta }}\right) ^{\beta -1}e^{-\left( { \frac{T-\gamma}{\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>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> | Gamma is the location parameter that determines the starting location of the distribution. If gamma is positive it implies that no failutes can occur until time gamma is reached.<br> | ||
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| align="center" valign="middle" | [http://www.reliawiki.com/index.php/The_Weibull_Distribution Get More Details...] | | align="center" valign="middle" | [http://www.reliawiki.com/index.php/The_Weibull_Distribution Get More Details...] |
Revision as of 17:55, 11 November 2011
Reliability Web Notes |
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Weibull Folio |
Life Data Analysis |
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 3-parameter Weibull includes a location parameter gamma. It's pdf is given by: |
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