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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 derivation of BLUP—Best linear unbiased predictor

Statistics & Probability Letters, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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

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.
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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
openaire   +2 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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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
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Asymptotic response to selection on best linear unbiased predictors of breeding values

Animal Science, 1992
AbstractFormulas were derived to predict asymptotic response to selection on best linear unbiased predictors (BLUP) of breeding values that account for selection-induced gametic phase disequilibrium, also known as the ‘Bulmer’ effect. Breeding programmes in populations of infinite size and with discrete generations were considered.
openaire   +1 more source

Estimation of the best linear unbiased predictor for the mean with unequal sample sizes

Statistical Methodology, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Variation and best linear unbiased predictors in a novel source of orchardgrass germplasm with increased winter hardiness

Canadian Journal of Plant Science, 2017
Evaluation of orchardgrass families at two Utah locations identified significant genetic variation for winter injury but not for flowering or biomass production. Repeatability estimates ranged from 0.06 (biomass production) to 0.65 (winter hardiness). This population has utility for the development of cultivars with increased winter hardiness.
J.G. Robins   +2 more
openaire   +1 more source

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