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Antonino Ingargiola edited Burst_Weights_Theory.tex
about 8 years ago
Commit id: b6ebfae934f7ee249410f5b77f0242b96decbb26
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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
(in the current example the unweighted estimator has
$28.6%%$ $28.6\,\%$ 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