Template:Example: Gamma Distribution Example: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
(removed link to http://reliawiki.org/index.php/Example:_Gamma_Distribution)
(Redirected page to Example: Gamma Distribution)
 
(One intermediate revision by one other user not shown)
Line 1: Line 1:
'''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>

Latest revision as of 03:58, 15 August 2012

Redirect to:

Retrieved from "https://www.reliawiki.com/index.php?title=Template:Example:_Gamma_Distribution_Example&oldid=31945"