# Number of events estimation

I have three different histograms (Impact parameter distributions) corresponding to three groups of the same particle with different properties. However, the three distribution have more or less the same shape. Now I want to predict a fourth distribution (with another property), which should have more or less the same shape as the three other ones. I have only a part of this latter distribution in a certain range.

A first attempt was to predict the rest of the distribution using a Transfer Factor (TF), which is the ratio of integrals in two different ranges, and by multiplying this TF to the integral of the known range in the fourth distribution, I could estimate the number of events in the unknown range. I did this using the three known distribution, but I obtained three different results, which were not even close to each other. I think that one of the three must be the good one, but I don't know which one.

My question: Is there a statistical method to determine the best one? or is there another way/method to approximate my last distribution?

• Please add the histograms and distributions you refer to, it's very hard to understand what exactly is that you look for – shakedzy Feb 24 '18 at 20:41
• I just added the histograms. So using these distributions, I want to predict a another one, because I believe that it will have a similar shape to one of these distributions (consider the green, blue and red one as one single distribution). – APORIL Feb 25 '18 at 1:14