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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).