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I am doing an unbinned likelihood analysis where I am analyzing the ratio of two spectra:

\[ \frac{S_{1}(E)}{S_{2}(E)} = F(E) \]

and each spectra,

\[ S_{1}, S_{2} \]

has its own data set. My first idea was to take the function, \[ F(E) \] and divide by the integral of the function to get a probability distribution but I am unsure how to input my data. If this was binned, it would be straight forward but in the unbinned case, it has stumped me. Anyone have any ideas? Thanks a bunch!