Probability density function of the logistic distribution

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stats::logisticPDF(m, s)


stats::logisticPDF(m, s) returns the probability density function

of the logistic distribution with mean m and standard deviation s > 0.

The procedure f := stats::logisticPDF(m, s) can be called in the form f(x) with an arithmetical expression x. The return value of f(x) is either a floating-point number or a symbolic expression:

If x is a floating-point number and m and s can be converted to floating-point numbers, then f(x) returns a positive floating-point number.

f( infinity ) and f(- infinity ) return 0.

In all other cases, the expression is returned symbolically.

Numerical values for m and s are only accepted if they are real and s is positive.

Environment Interactions

The function is sensitive to the environment variable DIGITS which determines the numerical working precision.


Example 1

We evaluate the probability density function with m = 0 and s = 1 at various points:

f := stats::logisticPDF(0, 1): f(1/2), f(0.5), f(x)

delete f:

Example 2

We use symbolic arguments:

f := stats::logisticPDF(m, s): f(x), f(3)

When numerical values are assigned to m and s, the function f starts to produce numerical values:

m := 0: s := 1: f(3), f(3.0)

delete f, m, s:



The mean: an arithmetical expression representing a real value


The standard deviation: an arithmetical expression representing a positive real value

Return Values