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

Revision as of 21:39, 9 November 2011

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+{{WeibullSideBar|Weibull++ Standard Folio <br> Weibull One Parameter|
-{{WeibullSideBar|Weibull++ Standard Folio <br> Weibull One Parameter|
 <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>.
+<br>
+In the formulation of the one-parameter Weibull, we assume that the shape parameter <math>\beta \,\!</math> is Constant and 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 one-parameter Weibull ''pdf'' is obtained by again setting
+}}
-<math>\gamma=0 \,\!</math> and assuming <math>\beta=C=Constant \,\!</math> assumed value or:
-::<math> 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>\eta\,\!</math>.
-Note that in the formulation of the one-parameter Weibull, we assume that the shape parameter <math>\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.