Gamma Distribution Example

This example appears in the Life data analysis reference.

24 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:


 * $$\begin{align}

& \hat{\mu }= 7.72E-02 \\ & \hat{k}= 50.4908 \end{align}\,\!$$

Using rank regression on $$X,\,\!$$ the estimated parameters are:


 * $$\begin{align}

& \hat{\mu }= 0.2915 \\ & \hat{k}= 41.1726 \end{align}\,\!$$

Using rank regression on $$Y,\,\!$$ the estimated parameters are:


 * $$\begin{align}

& \hat{\mu }= 0.2915 \\ & \hat{k}= 41.1726 \end{align}\,\!$$