Template:Weibull Probability Density Function: Difference between revisions

Latest revision as of 01:27, 13 August 2012

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-== Weibull Probability Density Function ==
+#REDIRECT [[The Weibull Distribution]]
-{{three-parameter weibull distribution}}
-{{Two-parameter weibull distribution}}
-=== The One-Parameter Weibull Distribution ===
-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.