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===The Gamma Distribution===
#REDIRECT [[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, gamma distribution has applications in Bayesian analysis as a prior distribution and is also commonly used in queuing theory.
The <math>pdf</math> of the gamma distribution is given by:
<br>
::<math>\begin{align}
  f(t)= & \frac{e^{kz-{e^{z}}}}{t\Gamma(k)} \\
  z= & \ln{t}-\mu 
\end{align}</math>
<br>
:where:
<br>
::<math>\begin{align}
  \mu = & \text{scale parameter} \\
k= & \text{shape parameter} 
\end{align}</math>
<br>
where 0 <math><t<\infty </math> , <math>-\infty <\mu <\infty </math> and <math>k>0</math>.
 
The gamma distribution and its characteristics are presented in more detail in Chapter 10.
<br>

Latest revision as of 09:32, 9 August 2012

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