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

Revision as of 21:38, 29 February 2012

The three-parameter Weibull distribution includes:

[math]\displaystyle{ \eta }[/math] [math]\displaystyle{ \beta }[/math] [math]\displaystyle{ \gamma }[/math]

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 === The Three-Parameter Weibull Distribution ===
+The three-parameter Weibull distribution includes:
-The three-parameter Weibull ''pdf'' is given by:
+<math>\eta</math>
+<math>\beta</math>
-<math> f(t)={ \frac{\beta }{\eta }}\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta }} </math>
+<math>\gamma</math>
-where,
-<math> f(t)\geq 0,\text{ }t\geq 0\text{ or }\gamma, </math>
-<math>\beta>0\ \,\!</math>,
-<math> \eta > 0 \,\!</math>,
-<math> -\infty < \gamma < +\infty \,\!</math>
-and,
-<math> \eta= \,\!</math> scale parameter, or characteristic life <math> \beta= \,\!</math> shape parameter (or slope),
-<math> \gamma= \,\!</math> location parameter (or failure free life).
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