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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, the gamma distribution has applications in Bayesian analysis as a prior distribution, and it is also commonly used in queuing theory. The <span class="texhtml">''pdf ''</span>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 <span class="texhtml">''k'' &gt; 0</span>.
 
The gamma distribution and its characteristics are presented in more detail in the chapter [[The Gamma Distribution]]. <br>

Latest revision as of 09:32, 9 August 2012