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The lower the asymptotic variance, the smaller the number of samples needed for a certain estimation accuracy.
Once an estimation algorithm has been obtained for a certain estimation problem, different approaches exist to benchmark the performance of the considered algorithm.
After the burn-in period, the number of samples needed for achieving a certain estimation accuracy can be determined from the Gaussian approximation given by the central limit theorem (see Theorem 1).
Invariance is an important property since it ensures that given an image and its transformed version, equivalent image patches will be extracted from both, and the resulting image representation will be the same (within a certain estimation error).
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Instead of perfect channel state information (CSI) predominantly assumed in the literature, a certain channel estimation algorithm and the influence of the corresponding channel estimation error are considered in this study.
There is an extensive body of literature on extracting an optimal number of clusters from a set (e.g., Jain and others 1999): although there is some convergence around certain estimation techniques, there is no agreed-upon single estimator.
Suppose that a beat-tracker correctly detects two beats with a certain false estimation between them.
It can also estimate the type of the wireless channel over which the user communicates using a certain channel estimation techniques.
The focus of this paper is on the derivation of semi-orthogonal transformations under certain estimation criteria in the first step and the design of the reduced-rank optimal filters that can be used in the second step.
Concerning the issues in [7], the authors widely use certain estimation: (mathbb{E}_{alpha} z leq 1), (mathbb{E}_{alpha,alpha} z leqfrac{1}{Gamma alpha)}) for (zleq0), which are reported in [8].
Based on an entropic measure to determine the entropy of graphs, we derived certain estimations for the corresponding entropies.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com