Template:GammaDistribution: Difference between revisions

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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 13.
-<br>