deletions | additions       diff --git a/Burst_Variance_Analysis.tex b/Burst_Variance_Analysis.tex  index 018a208..6a2180c 100644  --- a/Burst_Variance_Analysis.tex  +++ b/Burst_Variance_Analysis.tex 
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A FRET peak originating from a single static FRET efficiency has the minimum width and   the sub-bursts acceptor counts ($N_a$) will ideally follow a binomial distribution of   eq.~\ref{eq:binom_dist}, where $n$ is the number of photons in each sub-burst and   $E$ is the FRET efficiency. (In practice, Proximity ratio is used as $E$.) As mentioned, $N_a$ will follow a binomial distribution and \[$E$ = {\frac{$N_a$}{n}}]. {\frac{$N_a$}{n}}}].  Thus, we expect the standard deviation of $E$ for the sub-bursts to be distributed according to eq.~\ref{eq:binom_std}. This is an approximation because background counts (both from sample and detector's dark counts) add additional variance that is not taken into account. However, the approximation works well in practical cases because the background contribution  is normally a small fraction of the total number of counts (therefore it marginally contributes to the variance).