Help Integrating Poisson Errors on Histograms

[Karatechop250]

So I have a histogram with bins that contain the number of events expected at a specific energy (which I generated with a Monte Carlo).. I need to add (integrate) all the bins in a section of this histogram and find the error of this value. However, the number of events are very small approx 10^(-1) so I can't just add the error of each bin in quadrature. So how do I calculate the error on the result of my integration over a section of the bins?

 

[chiro]

Hey Karatechop250 and welcome to the forums.

Does the histogram have a closed analytic form? If this is the case you want to look at the Euler-Mclaurin result:

http://en.wikipedia.org/wiki/Euler–Maclaurin_formula