Logistic Distribution

Name

UxHwDoubleLogisticDist, UxHwFloatLogisticDist — Create a Logistic distribution.

Synopsis

#include <uxhw.h>

double	UxHwDoubleLogisticDist(double location, double scale);
float	UxHwFloatLogisticDist(float location, float scale);

Description

The UxHwDoubleLogisticDist() function, on architectures that associate distributional information with floating-point values, creates a Logistic distribution with parameters location and scale and associates it with its return value. The particle return value is the mean value of a Logistic distribution with parameters location and scale. The probability density function of the Logistic distribution is

$$f(x;\mu, s)=\frac{1}{4s}\text{sech}^2\left(\frac{x-\mu}{2s}\right).$$

Parameters

• location — The location parameter ($\mu$) of the Logistic distribution.
• scale — The scale parameter (s) of the Logistic distribution.

Return Values

The UxHwDoubleLogisticDist() function returns the mean of samples of a Logistic distribution with parameters location and scale. If scale < 0, the function returns NaN.

✏️   Examples

#include <stdio.h>
#include <uxhw.h>

int
main(void)
{
	double	value = UxHwDoubleLogisticDist(5.0, 2.0);
	printf("value = %lf\n", value);

	return 0;
}