Weibull++ Standard Folio Data 1P-Weibull: Difference between revisions

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::<math>\beta=C=Constant \,\!</math>  
::<math>\beta=C=Constant \,\!</math>  
or  
or  
::<math> f(t)={ \frac{C}{\eta }}\left( {\frac{t}{\eta }}\right) ^{C-1}e^{-\left( {\frac{t}{ \eta }}\right) ^{C}} \,\!</math>  
::<math> R(t)=e^{-\left( {\frac{t}{ \eta }}\right) ^{C}} \,\!</math>  


where the only unknown parameter is the scale parameter, <math>\eta\,\!</math>.  
where the only unknown parameter is the scale parameter, <math>\eta\,\!</math>.  

Revision as of 23:24, 10 February 2012

 

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The One-Parameter Weibull Distribution

The one-parameter Weibull distribution is a special case of the two parameter Weibull that assumes that

[math]\displaystyle{ \beta=C=Constant \,\! }[/math]

or

[math]\displaystyle{ R(t)=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.


The Weibull Distribution
See an Example...


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