Mixture of Distributions

Name

UxHwDoubleMixture, UxHwFloatMixture — Calculate the Mixture of two distributions.

Synopsis

#include <uxhw.h>

double	UxHwDoubleMixture(double a, double b, double aScale);
float	UxHwFloatMixture(float a, float b, float aScale);

Description

The UxHwDoubleMixture() function, on architectures that associate distributional information with floating-point variables, creates a distributional value that follows the mixture distribution generated from the distributional values associated with a and b, and associates it with its return value. The resulting mixture distribution contains the distribution of a with probability aScale and the distribution of b with probability 1 - aScale. The function returns the mean value of the outcome mixture distribution.

Parameters

• a — The distributional value of this parameter is used for the calculation of the mixture distribution.
• b — The distributional value of this parameter is used for the calculation of the mixture distribution.
• aScale — The scaling of a distribution in the resulting mixture distribution. Its value must be in [0.0, 1.0].

Return Values

The UxHwDoubleMixture() function returns the mean value of the samples drawn from the mixture distribution of a and b, with scaling aScale. If the value of aScale is not in [0.0, 1.0], the function returns NaN.

✏️   Examples

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

int
main(void)
{
	double	a = UxHwDoubleUniformDist(0.0, 10.0);
	double	b = UxHwDoubleUniformDist(5.0, 15.0);
	double	aScale = 0.2;

	double	c = UxHwDoubleMixture(a, b, aScale);

	printf("c = %lf\n", c);

	return 0;
}