Transformation approaches of linear random-effects models
type: Item
instance of: scholarly article
title: Transformation approaches of linear random-effects models
zbMATH Open document ID: 1441.62147
author: Yongge Tian
published in: Statistical Methods and Applications
publication date: 2018-01-12T00:00:00Z
Mathematics Subject Classification ID: 62H12
Mathematics Subject Classification ID: 62J05
Mathematics Subject Classification ID: 62J10
zbMATH DE Number: 6825460
zbMATH Keywords: linear random-effects model
zbMATH Keywords: transformed model
zbMATH Keywords: BLUP
zbMATH Keywords: BLUE
zbMATH Keywords: covariance matrix
zbMATH Keywords: equality
MaRDI profile type: Publication
full work available at URL: s10260-017-0381-3
OpenAlex ID: W2620832546
cites work: Further remarks on the connection between fixed linear model and mixed linear model
cites work: Linear transformations preserving best linear unbiased estimators in a general Gauss-Markoff model
cites work: Linear sufficiency with respect to a given vector of parametric functions
cites work: Q3750828
cites work: On the Built-in Restrictions in Linear Mixed Models, with Application to Smoothing Spline Analysis of Variance
cites work: On the equivalence of estimations under a general linear model and its transformed models
cites work: Mixed Models
cites work: On relations between BLUEs under two transformed linear models
cites work: Q3319577
cites work: Linear sufficiency and some applications in multilinear estimation
cites work: Equivalence of predictors under real and over-parameterized linear models
cites work: Best Linear Unbiased Prediction in the Generalized Linear Regression Model
cites work: Multilevel mixed linear model analysis using iterative generalized least squares
cites work: Q3577922
cites work: A note on the concepts of linear and quadratic sufficiency
cites work: General theory and methods for matric factoring
cites work: Extension of the Gauss-Markov theorem to include the estimation of random effects
cites work: Equality of BLUES or BLUPS under two linear models using stochastic restrictions
cites work: Q3172539
cites work: On the equality of the BLUPs under two linear mixed models
cites work: The link between the mixed and fixed linear models revisited
cites work: Linear sufficiency and admissibility in restricted linear models
cites work: Best Linear Unbiased Estimation and Prediction under a Selection Model
cites work: Sufficient and admissible estimators in general multivariate linear model
cites work: Linear Prediction Sufficiency for New Observations in the General Gauss–Markov Model
cites work: Q5438747
cites work: Linear and generalized linear mixed models and their applications.
cites work: Estimation in singular partitioned, reduced or transformed linear models
cites work: Some notes on linear sufficiency
cites work: Stability of invariant linearly sufficient statistics in the general Gauss-Markov model
cites work: Different kinds of sufficiency in the general Gauss-Markov model
cites work: Random-Effects Models for Longitudinal Data
cites work: A Brief Survey of Modern Optimization for Statisticians
cites work: Estimation From Transformed Data Under the Linear Regression Model
cites work: Q4318854
cites work: Two competing linear random-effects models and their connections
cites work: Nested Generalized Linear Mixed Models: An Orthodox Best Linear Unbiased Predictor Approach
cites work: Comparison of linear restricted models with respect to the validity of admissible and linearly sufficient estimators
cites work: Admissibility and linear sufficiency in linear model with nuisance parameters
cites work: Q4050723
cites work: Sufficiency and completeness in the linear model
cites work: Q5484949
cites work: Q4731991
cites work: Q5849795
cites work: Matrix Tricks for Linear Statistical Models
cites work: Q5646256
cites work: Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix
cites work: Q3976287
cites work: Linear models and generalizations. Least squares and alternatives. With contributions by Michael Schomaker.
cites work: Q4530353
cites work: Prediction in the linear model: a direct approach.
cites work: A transformation approach in linear mixed-effects models with informative missing responses
cites work: More on maximal and minimal ranks of Schur complements with applications
cites work: A new derivation of BLUPs under random-effects model
cites work: A matrix handling of predictions of new observations under a general random-effects model
cites work: An algebraic study of BLUPs under two linear random-effects models with correlated covariance matrices
cites work: A new analysis of the relationships between a general linear model and its mis-specified forms
cites work: Q3922011
cites work: Linear mixed models for longitudinal data
DOI: 10.1007/S10260-017-0381-3