I realized that since the debinning function itself is a good approximation for f, I could use it to calculate its own uncertainty. I have compared the result to the true uncertainty, and it seems to be close enough for me to perform a fit.

Thus, I can now fit the debinning function just as I would a histogram. The standard
fit comparison can now commence. If the results don't look nice, I have other ideas
for how to use the debinning calculation for fitting.