Question about data & Monte Carlo statistical uncertainties

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SUMMARY

This discussion centers on the separation of statistical uncertainties in data versus Monte Carlo simulations. It establishes that while Monte Carlo uncertainty approaches zero with infinite statistics, finite data introduces its own uncertainty. The conversation highlights the potential for double counting when combining these uncertainties, emphasizing that they stem from distinct sources: Monte Carlo uncertainty relates to computational model precision, whereas physical uncertainty pertains to inherent physical phenomena.

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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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