Template:GammaDistribution

The Gamma Distribution
The gamma distribution is a flexible distribution that may offer a good fit to some sets of life data. Sometimes called the Erlang distribution, the gamma distribution has applications in Bayesian analysis as a prior distribution, and it is also commonly used in queuing theory. The pdf  of the gamma distribution is given by:


 * $$\begin{align}

f(t)= & \frac{e^{kz-{e^{z}}}}{t\Gamma(k)} \\ z= & \ln{t}-\mu \end{align}$$

where:


 * $$\begin{align}

\mu = & \text{scale parameter} \\ k= & \text{shape parameter} \end{align}$$

where 0 $$<t<\infty $$, $$-\infty <\mu <\infty $$ and k &gt; 0.

The gamma distribution and its characteristics are presented in detail in the chapter The Gamma Distribution.