Template:Loglogistic probability density function: Difference between revisions

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(Created page with '====Loglogistic Probability Density Function==== The loglogistic distribution is a two-parameter distribution with parameters <math>\mu </math> and <math>\sigma </math> . The …')
 
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====Loglogistic Probability Density Function====
#REDIRECT [[The_Loglogistic_Distribution]]
The loglogistic distribution is a two-parameter distribution with parameters  <math>\mu </math>  and  <math>\sigma </math> . The  <math>pdf</math>  for this distribution is given by:
 
::<math>f(T)=\frac{{{e}^{z}}}{\sigma T{{(1+{{e}^{z}})}^{2}}}</math>
 
:where:
 
::<math>z=\frac{{T}'-\mu }{\sigma }</math>
 
::<math>{T}'=\ln (T)</math>
 
:and:
 
::<math>\begin{align}
  & \mu = & \text{scale parameter} \\
& \sigma = & \text{shape parameter} 
\end{align}</math>
 
where  <math>0<t<\infty </math> ,  <math>-\infty <\mu <\infty </math>  and  <math>0<\sigma <\infty </math> .

Latest revision as of 09:59, 9 August 2012

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