I have two histograms that I would like to compare quantitatively. The values of the first histogram have respective relative errors for each bin. The second histogram has no statistical uncertainty. I could compute probabilities for each bin that the exact values would fall into a given uncertainty range about the corresponding value in the other distribution... but I'm wondering if there are more sophisticated alternatives that I could apply. If it is relevant, the width of the sample space is the same for all the bins and values in the distributions span several orders of magnitude.