A Question about data & Monte Carlo statistical uncertainties

ChrisVer
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Hi
I was wondering the following/feeling uneasy about it:
Does it make sense to separate the statistical uncertainties of data and Monte Carlo?
For example assume infinite statistics in your MC (uncertainty-->0) while your data is finite : so they come with some "uncertainty" (if that makes sense for an observation).

Then, exchange the two cases, aka consider the observation a fixed number (which sounds reasonable to me) and vary the MC within its uncertainty.

Doesn't the combination of those two steps result in double counting? (I have a feeling that that is happening).
 
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They are two different uncertainty sources, and both influence separately (and differently!) how well you can estimate the physical parameter you are looking for.
 
Monte Carlo uncertainty is a reflection of the computational model precision. Physical uncertainty reflects physics not mathematics.
 

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