private double complementaryDistributionFunction(double x)
{
if (exact)
{
// For small samples (< 30) and if there are not very large
// differences in samples sizes, this distribution is exact.
return(WilcoxonDistribution.exactComplement(x, table));
}
if (Correction == ContinuityCorrection.Midpoint)
{
if (x > Mean)
{
x = x - 0.5;
}
else
{
x = x + 0.5;
}
}
else if (Correction == ContinuityCorrection.KeepInside)
{
x = x - 0.5;
}
return(approximation.ComplementaryDistributionFunction(x));
}
/// <summary>
/// Gets the cumulative distribution function (cdf) for
/// this distribution evaluated at point <c>x</c>.
/// </summary>
///
/// <param name="x">A single point in the distribution range.</param>
///
/// <remarks>
/// The Cumulative Distribution Function (CDF) describes the cumulative
/// probability that a given value or any value smaller than it will occur.
/// </remarks>
///
/// <example>
/// See <see cref="ShapiroWilkDistribution"/>.
/// </example>
///
protected internal override double InnerDistributionFunction(double x)
{
double z = g(x);
double cdf = normal.ComplementaryDistributionFunction(z);
return(cdf);
}
/// <summary>
/// Gets the complementary cumulative distribution function
/// (ccdf) for this distribution evaluated at point <c>x</c>.
/// This function is also known as the Survival function.
/// </summary>
/// <param name="x">A single point in the distribution range.</param>
/// <returns>System.Double.</returns>
/// <remarks>The Complementary Cumulative Distribution Function (CCDF) is
/// the complement of the Cumulative Distribution Function, or 1
/// minus the CDF.</remarks>
protected internal override double InnerComplementaryDistributionFunction(double x)
{
if (this.exact)
{
return(exactComplement(x, table));
}
if (Correction == ContinuityCorrection.Midpoint)
{
if (x > Mean)
{
x = x - 0.5;
}
else
{
x = x + 0.5;
}
}
else if (Correction == ContinuityCorrection.KeepInside)
{
x = x - 0.5;
}
return(approximation.ComplementaryDistributionFunction(x));
}
/// <summary>
/// Gets the complementary cumulative distribution function
/// (ccdf) for this distribution evaluated at point <c>x</c>.
/// This function is also known as the Survival function.
/// </summary>
///
/// <param name="x">A single point in the distribution range.</param>
///
/// <remarks>
/// The Complementary Cumulative Distribution Function (CCDF) is
/// the complement of the Cumulative Distribution Function, or 1
/// minus the CDF.
/// </remarks>
///
public override double ComplementaryDistributionFunction(double x)
{
if (x <= 0)
{
return(0);
}
if (x >= 1)
{
return(1);
}
double z = g(x);
return(normal.ComplementaryDistributionFunction(z));
}
/// <summary>
/// Gets the complementary cumulative distribution function
/// (ccdf) for this distribution evaluated at point <c>x</c>.
/// This function is also known as the Survival function.
/// </summary>
///
/// <param name="x">A single point in the distribution range.</param>
///
/// <remarks>
/// The Complementary Cumulative Distribution Function (CCDF) is
/// the complement of the Cumulative Distribution Function, or 1
/// minus the CDF.
/// </remarks>
///
public override double ComplementaryDistributionFunction(double x)
{
return(normal.ComplementaryDistributionFunction(g(x)));
}
