Kriging provides optimal estimates given the hypothesized lag relationship, and error estimates can be mapped to determine if spatial patterns exist.
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Minimizing the Mean-Square Error ( MSE ) by varying p gives us the optimal estimated position \ hat { p }.
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Hutchinson, established a result to give an optimal estimate of the Hausdorff dimension of the singular set of minimizers of the Mumford-Shah energy.
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II of the Neyman Pearson edited Statistical Research Memoirs, were concerned with Behrens Fisher problem and the optimal estimate of " ? " 2 in the Gauss Markov model.
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Use of a Kalman filter will result in the optimal estimate for the current weight, while the moving average will always trail behind your true weight .-- talk ) 14 : 33, 13 September 2013 ( UTC)
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The Wiener filter as originally proposed by Norbert Wiener is a signal processing filter which uses knowledge of the statistical properties of both the signal and the noise to reconstruct an optimal estimate of the signal from a noisy one-dimensional time-ordered data stream.
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We want to find optimal estimates j ^ * and \ mu ^ * for the unknown shift j _ 0 and scaling \ mu _ 0 by minimizing the least squares residual between the observed sequence x _ k and a " probing sequence " h _ { j-k }:
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