/// <summary>Gets the absolute n-th central moment, i.e. E[|X- E[X]|^n], where E is the expectation operator.
/// </summary>
/// <param name="order">The order of the central moment.</param>
/// <returns>The value of the absolute n-th central moment, i.e. E[|X- E[X]|^n], where E is the expectation operator.</returns>
/// <remarks>The implementation is based on a numerical integral approach (Gauss-Laguerre).</remarks>
public override double GetAbsCentralValue(int order)
{
var algorithm = Integrator.Create();
algorithm.FunctionToIntegrate = (xk, k) => DoMath.Pow(Math.Abs(xk - 1.0), order); // |\beta * x - \beta|^n = \beta^n * |x-1.0|^n
return(algorithm.GetValue() * DoMath.Pow(Distribution.Beta, order));
}
