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An empirical Bayes derivation of best linear unbiased predictors [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 Let (Y1, θ1), …, (Yn, θn) be independent real‐valued random vectors with Yi, given θi, is distributed according to a distribution depending only on θi for i = 1, …, n. In this paper, best linear unbiased predictors (BLUPs) of the θi′s are investigated. We show that BLUPs of θi′s do not exist in certain situations.
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Upper bounds for the Euclidean distances between the BLUPs
Special Matrices, 2018 In this article we consider the general linear model {y, X ß, V} where y is the observable random vector with expectation X ß and covariance matrix V. Our interest is on predicting the unobservable random vector y* which comes from y* = X* ß + ƹ* where ...
Markiewicz Augustyn, Puntanen Simo
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Journal of Dairy Science, 2023 : The objectives of this study were to investigate the computational performance and the predictive ability and bias of a single-step SNP BLUP model (ssSNPBLUP) in genotyped young animals with unknown-parent groups (UPG) for type traits, using national ...
Takefumi Osawa +3 more
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Nonparametric estimation of mean-squared prediction error in nested-error regression models [PDF]
, 2005 Nested-error regression models are widely used for analyzing clustered data. For example, they are often applied to two-stage sample surveys, and in biology and econometrics.
Hall, Peter, Maiti, Tapabrata
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Journal of Dairy Science, 2022 : Official multibreed genomic evaluations for dairy cattle in the United States are based on multibreed BLUP evaluation followed by single-breed estimation of SNP effects.
A. Cesarani +6 more
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Estimation and prediction based on k-record values from normal distribution
Statistica, 2014 In this paper, we introduce the k-record values arising from normal distribution. After computing the means, variances and covariances of the k-record values, we determine the best linear unbiased estimators for the location and scale parameters of ...
Manoj Chacko, M. Shy Mary
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Frontiers in Plant Science, 2023 Historically, end-product quality testing has been costly and required large flour samples; therefore, it was generally implemented in the late phases of variety development, imposing a huge cost on the breeding effort and effectiveness.
Shiva Azizinia +12 more
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Frontiers in Genetics, 2020 Genome-Wide Association Studies (GWAS) explain only a small fraction of heritability for most complex human phenotypes. Genomic heritability estimates the variance explained by the SNPs on the whole genome using mixed models and accounts for the many ...
Arthur Frouin +6 more
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Nonparametric Methods in Astronomy: Think, Regress, Observe -- Pick Any Three [PDF]
, 2018 Telescopes are much more expensive than astronomers, so it is essential to minimize required sample sizes by using the most data-efficient statistical methods possible.
Jermyn, Adam S., Steinhardt, Charles L.
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Design-based composite estimation of small proportions in small domains
Nonlinear Analysis, 2023 Traditional direct estimation methods are inefficient for domains of a survey population with small sample sizes. To estimate the domain proportions, we combine the direct estimators and the regression-synthetic estimators based on domain-level ...
Andrius Čiginas
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