#35 in Mathematical physics books
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Reddit mentions of Statistics: A Guide to the Use of Statistical Methods in the Physical Sciences
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We found 1 Reddit mentions of Statistics: A Guide to the Use of Statistical Methods in the Physical Sciences. Here are the top ones.
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I think what you want is propagation of uncertainties. Yours is the third case, f=AB, with sigma_A and sigma_B being your errors. You don't say whether the measurements are correlated: if not, the third term is zero.
This is a drastic simplification though. The best resource I know of is this book, at least if you are happy just doing practical/pragmatic statistics.