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| === The Gamma Distribution ===
| | #REDIRECT [[The_Gamma_Distribution]] |
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| 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>
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| ::<math>\begin{align}
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| f(t)= & \frac{e^{kz-{e^{z}}}}{t\Gamma(k)} \\
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| z= & \ln{t}-\mu
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| \end{align}</math>
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| <br>where: <br>
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| ::<math>\begin{align}
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| \mu = & \text{scale parameter} \\
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| k= & \text{shape parameter}
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| \end{align}</math>
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| <br>where 0 <math><t<\infty </math> , <math>-\infty <\mu <\infty </math> and <span class="texhtml">''k'' > 0</span>.
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| The gamma distribution and its characteristics are presented in detail in the chapter [[The Gamma Distribution]]. <br>
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