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This improvement is notable, especially when we consider that example 4 is particularly well suited for the equal count of sampling.
Under certain circumstances, we can guarantee that the one-sample balance heuristic estimator using the values alpha_{i}propto frac{M_{i,{text{eq}}}}{sqrt{c_{i}}}, (51). is more efficient than the one-sample balance heuristic with equal count of sampling.
This problem has been attacked by Veach establishing an inequality (Theorem 9.5 of his thesis [2]) for the variance of the balance heuristic estimator with equal count of sampling ({hat F}_{{text {eq}}}): begin{array}rcl@ V[!{hat F}_{{text{eq}}}] le n V[!{F}] + frac{n-1}{N} mu^{2}, end{array} (23).
The one-sample balance heuristic estimator using the {α i } values in Eq. 51 is more efficient than the one-sample balance heuristic estimator with equal count of sampling when the {α i } values are decreasing with costs {c i }.
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Fig. 2 The variance for the estimators for adaptive sampling for different samples count and unit cost of sampling techniques.
Sweep net contents were emptied into a white tray to enhance visibility, identification and counting of sampled organisms.
A suggested plan for sampling cages on a farm, the sampling frequency, the level of detail of the count and means of sampling representative fish are examined.
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.
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.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com