Weibull++ Standard Folio Data Gumbel: Difference between revisions

Revision as of 20:47, 8 February 2012

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...

@@ Line 18: / Line 18: @@
 The Gumbel...
+<br>
-<br><math> f(T)={ \frac{\beta }{\eta }}\left( {\frac{T}{\eta }}\right) ^{\beta -1}e^{-\left( { \frac{T}{\eta }}\right) ^{\beta }} \,\!</math>
+<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><math> \beta= </math> shape parameter (or slope).