It is easy to see from the proof of Fieller's theorem and its geometric interpretation that one can compute sampling distribution q of the ratio estimatorr r~l l 1 .l l 2 as follows: This can be interpreted as cutting out thin wedges in the joint distribution of g 1l l 1 and g 2l l 2 and accumulating the probabilities inside the wedge to compute the function q in the corresponding thin interval of the ratio. This is the basis of our numerical algorithm which implements integration in order to compute q(r):