Some Properties of Linear Prediction Sufficiency in the Linear Model

DOI10.1007/978-3-319-73241-1_8zbMath1397.62251OpenAlexW2785429496MaRDI QIDQ4689252

Simo Puntanen, Jarkko Isotalo, Augustyn Markiewicz

Publication date: 15 October 2018

Published in: Contributions to Statistics (Search for Journal in Brave)

Full work available at URL: https://trepo.tuni.fi/handle/10024/118206

zbMATH Keywords

orthogonal projectorbest linear unbiased estimator (BLUE)best linear unbiased predictor (BLUP)linear sufficiencytransformed linear model

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (3)

Linear prediction sufficiency in the misspecified linear model ⋮ Some properties of linear sufficiency and the BLUPs in the linear mixed model ⋮ Upper bounds for the Euclidean distances between the BLUPs

Cites Work

• A projector oriented approach to the best linear unbiased estimator
• Some notes on linear sufficiency
• Equalities between OLSE, BLUE and BLUP in the linear model
• Further remarks on the connection between fixed linear model and mixed linear model
• Best linear unbiased prediction for linear combinations in general mixed linear models
• On the equivalence of estimations under a general linear model and its transformed models
• Linear transformations preserving best linear unbiased estimators in a general Gauss-Markoff model
• Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix
• Linear sufficiency with respect to a given vector of parametric functions
• Further properties of the linear sufficiency in the partitioned linear model
• The link between the mixed and fixed linear models revisited
• Plane Answers to Complex Questions
• Matrix Tricks for Linear Statistical Models
• Some Further Remarks on the Linear Sufficiency in the Linear Model
• The Estimation of Environmental and Genetic Trends from Records Subject to Culling
• Linear Prediction Sufficiency for New Observations in the General Gauss–Markov Model
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