The continuous distribution with parameters and having probability
and distribution functions

(correcting the sign error in von Seggern 1993, p. 250). The distribution function is similar in form to the solution to the continuous logistic
equation

(3)

giving the distribution its name.

The logistic distribution is implemented in the Wolfram Language as LogisticDistribution [mu ,
beta ].

The mean , variance , skewness ,
and kurtosis excess are

See also Logistic Equation ,

Lorentzian
Function ,

Sigmoid Function
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References von Seggern, D. CRC Standard Curves and Surfaces. Boca Raton, FL: CRC Press, p. 250, 1993. Referenced
on Wolfram|Alpha Logistic Distribution
Cite this as:
Weisstein, Eric W. "Logistic Distribution."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/LogisticDistribution.html

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