deletions | additions       diff --git a/Burst_Variance_Analysis.tex b/Burst_Variance_Analysis.tex  index e486b4a..a8ebc59 100644  --- a/Burst_Variance_Analysis.tex  +++ b/Burst_Variance_Analysis.tex 
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very small fraction of the total counts).   We refer the interested reader to~\cite{Torella_2011} for further discussion.  If $N_a$ follows a binomial distribution, the random variable $E_{sub} $E_{\textrm{sub}}  = N_a/n$, has a standard deviation reported in eq.~\ref{eq:binom_std}.   \begin{equation}  \label{eq:binom_std}  \operatorname{Std(\textit{E})} \operatorname{Std(\textit{E_{\textrm{sub}}})}  = {\sqrt{\frac{E(1 - E)}{n}}} \end{equation}  BVA analysis consists of four steps: 1) dividing bursts into consecutive burst chunks containing a constant number of consecutive photons,~\textit{n}, 2) computing the FRET efficiencies of each burst chunk, 3) calculating the empirical standard deviation ($s_E$) of burst chunks FRET efficiencies over the whole burst, and 4) comparing $s_E$ to the expected standard deviation of a shot-noise limited distribution~(eq.~\ref{eq:binom_std}).