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Weibull Distribution

Name​

UxHwDoubleWeibullDist, UxHwFloatWeibullDist — Create a Weibull distribution.

Synopsis​

#include <uxhw.h>

double  UxHwDoubleWeibullDist(double k, double lambda);
float   UxHwFloatWeibullDist(float k, float lambda);

Description​

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

f(x;λ,k)={kλ(xλ)k−1e−(x/λ)kx≥0,0x<0.f(x;\lambda,k)=\begin{cases} \frac{k}{\lambda}\left(\frac{x}{\lambda}\right)^{k-1}e^{-(x/\lambda)^k} & x\ge 0, \\ 0 & x < 0. \end{cases}

Parameters​

  • k — The shape parameter (k) of the Weibull distribution.
  • lambda — The scale parameter (λ\lambda) of the Weibull distribution.

Return Values​

The UxHwDoubleWeibullDist() function returns the mean of samples of a Weibull distribution with parameters k and lambda. If k <= 0 or l <= 0, the function returns NaN.

✏️   Examples​

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

int
main(void)
{
    double  value = UxHwDoubleWeibullDist(1.0, 1.5);
    printf("value = %lf\n", value);

    return 0;
}