sentences:  The weight factor formula_32 is an estimate of the amount of prior mass that lies between two nested hypersurfaces formula_38 and formula_39.The update step formula_40 computes the sum over formula_41 of formula_42 to numerically approximate the integral
  
  In the limit formula_44, this estimator has a positive bias of order formula_45 which can be removed by using formula_46 instead of the formula_47 in the above algorithm.The idea is to subdivide the range of formula_48 and estimate, for each interval formula_49, how likely it is a priori that a randomly chosen formula_12 would map to this interval.