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enter image description hereI 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?

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  • $\begingroup$ Please add the histograms and distributions you refer to, it's very hard to understand what exactly is that you look for $\endgroup$ – shakedzy Feb 24 '18 at 20:41
  • $\begingroup$ 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). $\endgroup$ – APORIL Feb 25 '18 at 1:14

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