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Antonino Ingargiola edited Burst_Weights_Theory.tex
about 8 years ago
Commit id: 54577bde925f809aad170e7dc9c2aedf30a10e06
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...
and acceptor counts from a binomial distribution ($E_p = 0.2$).
By repeatedly fitting the population parameter $E_p$ using a
size-weighted and unweighted average, we verified that the former has systematically
lower variance of the latter as predicted by the
theory. theory
(in the current example the unweighted estimator has $38%$ higher variance).
Note that this result
holds for any arbitrary distribution of burst sizes. The full simulation
including exponential and gamma-distributed burst sizes is reported in
the accompanying Jupyter notebook (\href{http://nbviewer.jupyter.org/github/tritemio/fretbursts_paper/blob/master/notebooks/Figures%20-%20Burst%20Weights.ipynb}{link}).