/**
* Computes the value of h(x) given the mixture.
*
* @param AHat the value
* @return the value of h(x)
*/
public double h(double AHat) {
if (AHat == 0.0) return 0.0;
DoubleVector points = mixingDistribution.getPointValues();
DoubleVector values = mixingDistribution.getFunctionValues();
double aHat = Math.sqrt(AHat);
DoubleVector aStar = points.sqrt();
DoubleVector d1 = Maths.dnorm(aHat, aStar, 1).timesEquals(values);
DoubleVector d2 = Maths.dnorm(-aHat, aStar, 1).timesEquals(values);
return points.minus(aHat / 2).innerProduct(d1) - points.plus(aHat / 2).innerProduct(d2);
}
/**
* Computes the value of h(x) given the mixture.
*
* @param x the value
* @return the value of h(x)
*/
public double h(double x) {
DoubleVector points = mixingDistribution.getPointValues();
DoubleVector values = mixingDistribution.getFunctionValues();
DoubleVector d = (DoubleVector) Maths.dnorm(x, points, 1).timesEquals(values);
return ((DoubleVector) points.times(2 * x).minusEquals(x * x)).innerProduct(d);
}