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Tail Probability

Name​

UxHwDoubleProbabilityGT, UxHwFloatProbabilityGT — Return the tail probability of a distribution beyond a cut-off value.

Synopsis​

#include <uxhw.h>

double  UxHwDoubleProbabilityGT(double value, double cutoff);
float   UxHwFloatProbabilityGT(float value, float cutoff);

Description​

The UxHwDoubleProbabilityGT() function returns the tail probability beyond cutoff of the distribution associated with value, on architectures that associate distributional information with floating-point values. Tail probability is defined as the probability of a random value from the value distribution to be greater than the cutoff value.

Parameters​

  • value — The distributional value to calculate the tail probability on.
  • cutoff — The cutoff value used to calculate the tail probability.

Return Values​

The UxHwDoubleProbabilityGT() function returns a floating-point value equal to the tail probability beyond cutoff of the distribution associated with value. If value has no distribution associated with it, the function returns value > cutoff (either 1.0 or 0.0).

✏️   Examples​

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

int
main(void)
{
    double  cutoff = 15.0;

    double  a = UxHwDoubleUniformDist(10.0, 20.0);
    double  tailProbability = UxHwDoubleProbabilityGT(a, cutoff);

    printf("Tail probability of `a` beyond cutoff %lf is %lf\n", cutoff, tailProbability);

    return 0;
}