code: @Pure
      @Override
      public double inverseF(double u) throws MathException {
          return Math.exp(this.standardDeviation * u + this.mean);
      }
docs: Replies the x according to the value of the distribution function.
  
  @param u is a value given by the uniform random variable generator {@code U(0, 1)}.
  @return {@code F<sup>-1</sup>(u)}
  @throws MathException in case {@code F<sup>-1</sup>(u)} could not be computed