Template:Example: Gamma Distribution Example
Jump to navigation
Jump to search
A Gamma Distribution Example
Twenty four units were reliability tested and the following life test data were obtained:
Fitting the gamma distribution to this data, using maximum likelihood as the analysis method, gives the following parameters:
- [math]\displaystyle{ \begin{align} & \hat{\mu }= & 7.72E-02 \\ & \hat{k}= & 50.4908 \end{align} }[/math]
Using rank regression on [math]\displaystyle{ X, }[/math] the estimated parameters are:
- [math]\displaystyle{ \begin{align} & \hat{\mu }= & 0.2915 \\ & \hat{k}= & 41.1726 \end{align} }[/math]
Using rank regression on [math]\displaystyle{ Y, }[/math] the estimated parameters are:
- [math]\displaystyle{ \begin{align} & \hat{\mu }= & 0.2915 \\ & \hat{k}= & 41.1726 \end{align} }[/math]