def cumulative_value(self, slip, mmax, mag_value, bbar, dbar, beta):
        '''
        Returns the rate of events with M > mag_value

        :param float slip:
            Slip rate in mm/yr
        :param float mmax:
            Maximum magnitude
        :param float mag_value:
            Magnitude value
        :param float bbar:
            \bar{b} parameter (effectively = b * log(10.))
        :param float dbar:
            \bar{d} parameter
        :param float beta:
            Beta value of formula defined in Eq. 20 of Anderson & Luco (1983)
        '''
        delta_m = mmax - mag_value
        a_2 = self._get_a2_value(bbar, dbar, slip / 10., beta, mmax)
        return a_2 * (np.exp(bbar * delta_m) - 1.0) * (delta_m > 0.0)
Returns the rate of events with M > mag_value

        :param float slip:
            Slip rate in mm/yr
        :param float mmax:
            Maximum magnitude
        :param float mag_value:
            Magnitude value
        :param float bbar:
            \bar{b} parameter (effectively = b * log(10.))
        :param float dbar:
            \bar{d} parameter
        :param float beta:
            Beta value of formula defined in Eq. 20 of Anderson & Luco (1983)