Template:Loglogistic probability density function: Difference between revisions

Latest revision as of 09:59, 9 August 2012

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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> .