Template:Example: Gamma Distribution Example: Difference between revisions

Latest revision as of 03:58, 15 August 2012

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-'''A Gamma Distribution Example'''
+#REDIRECT [[Example:_Gamma_Distribution]]
-Twenty four units were reliability tested and the following life test data were obtained:
-<center><math>\begin{matrix}
-   \text{61} & \text{50} & \text{67} & \text{49} & \text{53} & \text{62}  \\
-   \text{53} & \text{61} & \text{43} & \text{65} & \text{53} & \text{56}  \\
-   \text{62} & \text{56} & \text{58} & \text{55} & \text{58} & \text{48}  \\
-   \text{66} & \text{44} & \text{48} & \text{58} & \text{43} & \text{40}  \\
-\end{matrix}</math></center>
-Fitting the gamma distribution to this data, using maximum likelihood as the analysis method, gives the following parameters:
-::<math>\begin{align}
-  & \hat{\mu }= & 7.72E-02 \\
- & \hat{k}= & 50.4908
-\end{align}</math>
-Using rank regression on  <math>X,</math>  the estimated parameters are:
-::<math>\begin{align}
-  & \hat{\mu }= & 0.2915 \\
- & \hat{k}= & 41.1726
-\end{align}</math>
-Using rank regression on  <math>Y,</math>  the estimated parameters are:
-::<math>\begin{align}
-  & \hat{\mu }= & 0.2915 \\
- & \hat{k}= & 41.1726
-\end{align}</math>