Template:Three-parameter weibull distribution

The Three-Parameter Weibull Distribution
The three-parameter Weibull pdf is given by:


 * $$ f(T)={ \frac{\beta }{\eta }}\left( {\frac{T-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{T-\gamma }{\eta }}\right) ^{\beta }} $$


 * where,


 * $$ f(T)\geq 0,\text{ }T\geq 0\text{ or }\gamma, $$


 * $$\beta>0\ \,\!$$,


 * $$ \eta > 0 \,\!$$,


 * $$ -\infty < \gamma < +\infty \,\!$$


 * and,


 * $$ \eta= \,\!$$ scale parameter, or characteristic life
 * $$ \beta= \,\!$$ shape parameter (or slope),
 * $$ \gamma= \,\!$$ location parameter (or failure free life).