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Antonino Ingargiola edited Burst_Weights_Theory.tex
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\subsection{Theoretical foundation of burst weights}
\label{sec:burstweights_theory}
Burst In homogenuous FRET population, burst counts in the acceptor channel
are usually can be
modeled
with as a binomial
distribution
where the random variable with success probability
is equal to the
population PR and
the number of trials
is equal to the burst size $n_d + n_a$.
Similarly, the PR of each burst $E_i$ ($i$ being the burst index) is simply a binomial divided by the
number of trials, therefore the variance is:
\begin{equation}
\label{eq:E_var}
\operatorname{Var} (E_i) = \frac{E_p\,(1-E_p)}{n_ti}
\end{equation}