Antonino Ingargiola edited Burst_Variance_Analysis.tex  about 8 years ago

Commit id: be8e75614e935e468c5396c9fb26e7c4f6a62608

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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   $N_a \sim \operatorname{B}(n, PR)$, E_p)$,  where $n$ is the number of photons in each sub-burst and $PR$ $E_p$  is the estimated population proximity-ratio. Note that we can use $PR$ in place the PR because, regardless  of $E$ since the molecular FRET efficiency,  the detected counts are partitioned between donor and acceptor channels according to a binomial distribution with a $p$ parameter success probability  equal to$PR$ (regardless of  the molecular FRET efficiency $E$). PR.  The only approximation done here is neglecting the presence background  (a reasonable approximation since the backgrounds counts are in general a   very small fraction of the total counts).