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Best Linear Unbiased Estimation for the Aitken Model
2020Recall from Chap. 7 that the least squares estimators of estimable functions are best linear unbiased estimators (BLUEs) of those functions under the Gauss–Markov model. But it turns out that this is not necessarily so under linear models having a more general variance–covariance structure, such as the Aitken model.
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A projector oriented approach to the best linear unbiased estimator
Statistical Papers, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baksalary, Oskar Maria, Trenkler, Götz
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Optimal sensor data quantization for best linear unbiased estimation fusion
2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004Distributed estimation is useful for surveillance using sensor networks. Due to the capacity constraints at the communication links, the data from the sensors are transmitted at a rate insufficient to convey all the observations reliably. Therefore, the observations are vector quantized and the estimation is done using the compressed measurements.
K. Zhang, X.R. Li
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Best Linear Unbiased Estimation of Location and Scale Parameters
1999Let us now assume that we have a random sample of size n, X 1, X 2,…, X n , from a three-parameter lognormal distribution [obtained by introducing location and scale parameters in (2.3)] with probability density function $$ \begin{gathered} f(x|\mu ,\sigma ,k) \hfill \\ \,\,\,\,\,\, = \frac{1}{{\left( {{{(k - 1)}^{{\raise0.7ex\hbox{${ - 1 ...
N. Balakrishnan, William W. S. Chen
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Best linear unbiased estimators of population variance in successive sampling
Model Assisted Statistics and Applications, 2012In present work, best linear unbiased estimators have been proposed to estimate the population variance on current occasion in two-occasion successive (rotation) sampling. Optimum replacement policies of the proposed estimators are discussed. Results are supported with the suitable empirical studies.
Singh, G.N., Prasad, S., Majhi, D.
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A Characterization of Best Linear Unbiased Estimators in the General Linear Model
1980A characterization of best linear unbiased estimators is given in the case of the general linear model. In addition necessary and sufficient conditions are derived for a given estimable function to have a best linear unbiased estimator. In particular models for which each estimable function has a best linear unbiased estimator are characterized.
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Best linear P-unbiased estimators for a one-equation model
1973In this chapter the best linear P-unbiased estimators for a model consisting of one equation and any given covariance matrix will be derived.
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When is an Expectile the Best Linear Unbiased Estimator?
SSRN Electronic Journal, 2021openaire +1 more source
Best Linear Unbiased Estimation in Linear Models
2011Simo Puntanen, George P. H. Styan
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