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Tonight, election officials in one of those counties, Broward, voted not to proceed with a full recount after a count of sample precincts found a gain of just four votes for Mr. Gore.
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This case should be most favorable to equal count of samples.
This paper discussed an important topic of MIS estimators and the limited acceleration over equal count of samples balance heuristic.
Sbert et al. [11] introduced an estimator provably better than balance heuristic with equal count of samples.
The α i values are called the mixture coefficients and represent the average count of samples from each technique.
where V[ Feq] is computed assuming the same weights as V[ F] but with equal count of samples.
In Section 4, we present a multi-sample balance heuristic estimator that is provably better than multi-sample balance heuristic with equal count of samples.
As expected the multi-sample estimators defined in [11] (Section 2.2.1) are better than balance heuristic with equal count of samples, both in variance and efficiency.
All in all, we present three new sampling strategies to improve on both variance and efficiency on the balance heuristic using non-equal count of samples.
using α i ∝Mi,eq weights is guaranteed to have less variance than the one-sample balance heuristic estimator with equal count of samples.
We obtain in one case an acceleration of more than 30 times over the variance of the balance heuristic estimator with equal count of samples.
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