Template:Logistic probability density function: Difference between revisions
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(Created page with '====Logistic Probability Density Function==== The logistic <math>pdf</math> is given by: ::<math>\begin{matrix} f(T)=\tfrac{{{e}^{z}}}{\sigma {{(1+{{e}^{z}})}^{2}}} \\ …') |
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==Logistic Probability Density Function== | |||
The logistic <math>pdf</math> is given by: | The logistic <math>pdf</math> is given by: | ||
Revision as of 22:41, 14 February 2012
Logistic Probability Density Function
The logistic [math]\displaystyle{ pdf }[/math] is given by:
- [math]\displaystyle{ \begin{matrix} f(T)=\tfrac{{{e}^{z}}}{\sigma {{(1+{{e}^{z}})}^{2}}} \\ z=\tfrac{t-\mu }{\sigma } \\ -\infty \lt T\lt \infty ,\ \ -\infty \lt \mu \lt \infty ,\sigma \gt 0 \\ \end{matrix} }[/math]
- where:
- [math]\displaystyle{ \begin{align} \mu = & \text{location parameter (also denoted as }\overline{T)} \\ \sigma = & \text{scale parameter} \end{align} }[/math]