deletions | additions       diff --git a/Burst_Variance_Analysis.tex b/Burst_Variance_Analysis.tex  index 485125d..a001661 100644  --- a/Burst_Variance_Analysis.tex  +++ b/Burst_Variance_Analysis.tex 
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comprising a fixed number $n$ of photons,  and to compare the empirical variance of acceptor counts of all sub-bursts in a burst,  with the theoretical shot-noise-limited variance.  An empirical variance of sub-bursts larger than the shot-noise limited shot-noise-limited  value indicates the presence of dynamics.Since the estimation of the sub-bursts variance is affected  by uncertainty, BVA analysis provides and indication of an higher or lower probability  of observing dynamics.  In a FRET (sub-)population originating from a single static FRET efficiency,  the sub-bursts acceptor counts $n_a$ can be modeled as a binomial-distributed random variable  
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\operatorname{Std}(E_{\textrm{sub}}) = \left( \frac{E_p\,(1 - E_p)}{n} \right)^{1/2}  \end{equation}  BVA analysis consists of in  four steps: 1) dividing bursts into consecutive sub-bursts containing a constant number of consecutive photons~\textit{n}, 2) computing the PR   of each sub-burst, 3) calculating the empirical standard deviation ($s_E$) of sub-bursts  PR in each burst, and 4) comparing $s_E$ to the expected standard deviation