Asymptotic Analysis of Multilevel Best Linear Unbiased Estimators [PDF]
SIAM/ASA Journal on Uncertainty Quantification, 2021 We study the computational complexity and variance of multilevel best linear unbiased estimators introduced in [D. Schaden and E. Ullmann, SIAM/ASA J. Uncert. Quantif., (2020)]. We specialize the results in this work to PDE-based models that are parameterized by a discretization quantity, e.g., the finite element mesh size.
Daniel Schaden, Elisabeth Ullmann
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Best Linear Unbiased Estimators for Properties of Digitized Straight Lines [PDF]
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1986 This paper considers the problem of measuring properties of digitized straight lines from the viewpoint of measurement methodology. The measurement and estimation process is described in detail, revealing the importance of a step called ``characterization'' which was not recognized explicitly before.
Arnold W. M. Smeulders, Leo Dorst
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Best linear unbiased estimators in continuous time regression models
arXiv: Methodology, 2016 In this paper the problem of best linear unbiased estimation is investigated for continuous-time regression models. We prove several general statements concerning the explicit form of the best linear unbiased estimator (BLUE), in particular when the error process is a smooth process with one or several derivatives of the response process available for ...
Dette, Holger +2 more
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The Best Linear Unbiased Estimator for Continuation of a Function
, 2010 We show how to construct the best linear unbiased predictor (BLUP) for the continuation of a curve in a spline-function model. We assume that the entire curve is drawn from some smooth random process and that the curve is given up to some cut point. We demonstrate how to compute the BLUP efficiently. Confidence bands for the BLUP are discussed. Finally,
Goldberg, Yair +2 more
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An elementary development of the equation characterizing best linear unbiased estimators
Linear Algebra and its Applications, 2004 AbstractPuntanen et al. [J. Statist. Plann. Inference 88 (2000) 173] provided two matrix-based proofs of the result stating that a linear estimator By represents the best linear unbiased estimator (BLUE) of the expectation vector Xβ under the general Gauss–Markov model M={y,Xβ,σ2V} if and only if B(X:VX⊥)=(X:0), where X⊥ is any matrix whose columns ...
Jerzy K. Baksalary
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A semi-parametric bootstrap-based best linear unbiased estimator of location under symmetry. [PDF]
Commun Stat Simul Comput, 2022 Hutson AD.
europepmc +3 more sources
Best Linear Unbiased Estimators for Fusion of Multiple CYGNSS Soil Moisture Products
IEEE Journal of Selected Topics in Applied Earth Observations and Remote SensingNASA's Cyclone Global Navigation Satellite System (CYGNSS) mission has gained significant attention within the land remote sensing community for estimating soil moisture (SM) using the Global Navigation System Reflectometry technique.
M M Nabi +3 more
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Best linear unbiased estimation for varying probability with and without replacement sampling [PDF]
Special Matrices, 2019 Abstract When sample survey data with complex design (stratification, clustering, unequal selection or inclusion probabilities, and weighting) are used for linear models, estimation of model parameters and their covariance matrices becomes complicated.
Haslett Stephen
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Orthogonal Block Structure and Uniformly Best Linear Unbiased Estimators [PDF]
, 2019 Models with orthogonal block structure, OBS, have variance covariance matrices that are linear combinations [...]
Ferreira, Sandra S. +4 more
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Robustness of the best linear unbiased estimator and predictor in linear regression models [PDF]
Applications of Mathematics, 1990 František Štulajter
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