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On equality of ordinary least squares estimator, best linear unbiased estimator and best linear unbiased predictor in the general linear model

Journal of Statistical Planning and Inference, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Best linear unbiased predictor in the mixed model with incomplete data

Communications in Statistics - Theory and Methods, 1998
The problem of predicting individual measurement is considered. This paper develops the Best Linear Unbiased Predictor (BLUP) of the fixed and random effects and the missing observations, under a mixed linear model The mean square errors are also obtained.
Barroso, L. P.   +2 more
openaire   +4 more sources

Simple Forms of the Best Linear Unbiased Predictor in the General Linear Regression Model

The American Statistician, 2000
Abstract This article presents necessary and sufficient conditions to be satisfied by the best linear unbiased predictor of future observations in the general linear model in order to have a simple form. Under these conditions, the predictors have an expression similar to that in the uncorrelated case and some parameters related to the covariances ...
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Selection on Individual Phenotype and Best Linear Unbiased Predictor of Breeding Value in a Closed Swine Herd

Journal of Animal Science, 1988
Computer simulation of a closed 100-sow and 4-boar swine herd was used to analyze effects of selection method on genetic change, inbreeding and genetic variance over 10 yr for traits with heritabilities (h2) of .10, .30 and .60. Selection of replacement animals was either on individual phenotype or best linear unbiased predictor (BLUP) of breeding ...
G M, Belonsky, B W, Kennedy
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Fast Algorithm for Cross-Validation of the Best Linear Unbiased Predictor

Journal of Computational and Graphical Statistics, 2002
This article proposes a new algorithm for cross-validation of the best linear unbiased predictor. The algorithm relies on a new technique for downdating the inverse of a Cholesky factor. Given n data points, the new algorithm has complexity O(n3), compared to O(n4), which is the order for the more traditional delete one and recalculate method.
Tae Yoon Kim   +2 more
openaire   +1 more source

A Useful Property of Best Linear Unbiased Predictors with Applications to Life-Testing

The American Statistician, 1997
Abstract This article shows, for the Gauss–Markov model, that the best linear unbiased estimators of the model parameters remain unchanged if the predicted values of the dependent variable (based on best linear unbiased predictors) are used as observed values in estimating the parameters.
Necip Doganaksoy, N. Balakrishnan
openaire   +1 more source

Breeding without breeding: selection using the genomic best linear unbiased predictor method (GBLUP)

New Forests, 2012
We demonstrate, using height data from a clonal trial, how the genomic best linear unbiased predictor method (GBLUP) is ideal for determining future breeding potential in situations (either in plantations or wild stands) where high mortality due to biotic or abiotic factors has occurred.
Yousry A. El-Kassaby   +2 more
openaire   +1 more source

Comparison of hierarchical likelihood versus orthodox best linear unbiased predictor approaches for frailty models

Biometrika, 2005
Hierarchical likelihood provides a statistically efficient procedure for frailty models. Recently, a method using the computationally attractive orthodox best linear unbiased predictor has been proposed; this uses Pearson-type estimation. We compare both approaches and discuss their relative merits.
Il Do Ha, Youngjo Lee
openaire   +1 more source

Best linear unbiased predictors and estimators under a pair of constrained seemingly unrelated regression models

Statistics & Probability Letters, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hong Jiang, Jianwei Qian, Yuqin Sun
openaire   +2 more sources

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