Weibull++ Standard Folio Data 1P-Weibull: Difference between revisions
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{{WeibullSideBar|Weibull++|Standard Folio Weibull One Parameter| | {{WeibullSideBar|Weibull++|Standard Folio Weibull One Parameter| | ||
<math> f(T)={ \frac{C}{\eta }}\left( {\frac{T}{\eta }}\right) ^{C-1}e^{-\left( {\frac{T}{ \eta }}\right) ^{C}} \,\!</math> | <math> f(T)={ \frac{C}{\eta }}\left( {\frac{T}{\eta }}\right) ^{C-1}e^{-\left( {\frac{T}{ \eta }}\right) ^{C}} \,\!</math> | ||
where <math>\beta=C=Constant</math>. | |||
|DD|EE}} | |DD|EE}} | ||
The one-parameter Weibull ''pdf'' is obtained by again setting | The one-parameter Weibull ''pdf'' is obtained by again setting | ||
Revision as of 21:32, 9 November 2011
The one-parameter Weibull pdf is obtained by again setting
[math]\displaystyle{ \gamma=0 \,\! }[/math] and assuming [math]\displaystyle{ \beta=C=Constant \,\! }[/math] assumed value or:
- [math]\displaystyle{ f(T)={ \frac{C}{\eta }}\left( {\frac{T}{\eta }}\right) ^{C-1}e^{-\left( {\frac{T}{ \eta }}\right) ^{C}} \,\! }[/math]
where the only unknown parameter is the scale parameter, [math]\displaystyle{ \eta\,\! }[/math].
Note that in the formulation of the one-parameter Weibull, we assume that the shape parameter [math]\displaystyle{ \beta \,\! }[/math] is known a priori from past experience on identical or similar products. The advantage of doing this is that data sets with few or no failures can be analyzed.