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Best linear unbiased estimators in continuous time regression models [PDF]

open access: green, 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 ...
Dette, Holger   +2 more
core   +7 more sources

The equality between linear transforms of ordinary least squares and best linear unbiased estimator [PDF]

open access: green, 1998
The best linear unbiased estimator BLUE (CXb) of a linear transform CX b in the general Gauss-Markov model (y, E (y) = X b Cov (y) =a2v) is the linear transform C BLUE (Xb) of the best linear unbiased estimator BLUE (Xb) of Xb.
Groß, Jürgen, Trenkler, Götz
core   +10 more sources

Asymptotic Analysis of Multilevel Best Linear Unbiased Estimators [PDF]

open access: greenSIAM/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
openalex   +5 more sources

Best Linear Unbiased Estimators for Properties of Digitized Straight Lines [PDF]

open access: greenIEEE 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.
Leo Dorst, A.W.M. Smeulders
  +7 more sources

Linear Transformations Preserving Best Linear Unbiased Estimators in a General Gauss-Markoff Model [PDF]

open access: bronzeThe Annals of Statistics, 1981
Under a general Gauss-Markoff model $\{\mathbf{y}, \mathbf{X,\beta, V}\}$, a necessary and sufficient condition is established for a linear transformation, $\mathbf{F}$, of the observable random vector $\mathbf{y}$ to have the property that there exists a linear function of $\mathscr{Fy}$ which is a BLUE of $\mathbf{X\beta}$.
Jerzy K. Baksalary, Radosław Kala
openalex   +4 more sources

Combination of measurements and the BLUE method [PDF]

open access: yesEPJ Web of Conferences, 2017
The most accurate method to combine measurements from different experiments is to build a combined likelihood function and use it to perform the desired inference.
Lista Luca
doaj   +3 more sources

Concomitants of Order Statistics from a Bivariate Generalized Linear Exponential Distribution: Theory and Practice [PDF]

open access: yesEntropy
This paper investigates the concomitants of order statistics from the bivariate generalized linear exponential (BGLE) distribution. We obtain the probability density function of a single concomitant and the joint probability density function of two ...
Areej M. AL-Zayd
doaj   +2 more sources

Best Linear Unbiased Estimators for Fusion of Multiple CYGNSS Soil Moisture Products

open access: goldIEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
NASA'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
doaj   +2 more sources

The Best Linear Unbiased Estimator for Continuation of a Function [PDF]

open access: green, 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,
Yair Goldberg   +2 more
openalex   +3 more sources

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