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MIVQUE and REML Estimators of Variance Components under Proportionality Condition

Biometrical Journal, 1998
Summary: A one-way random effect model with unequal cell variances is considered, and the Minimum Variance Quadratic Unbiased Estimator (MIVQUE) and Restricted Maximum Likelihood (REML) estimator of the variance components are studied. The algebraic inversion of the variance matrix of the observation vector is obtained to achieve some computational ...
Hossain, Syed Shahadat, Muttlak, H. A.
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REML Estimation with Exact Covariance in the Logistic Mixed Model

Biometrics, 1993
Residual maximum likelihood (REML) estimation is adapted to certain logistic mixed models for which representation of the unconditional mean as a linear function of the fixed effects is possible. Only the first two moments of the unconditional distribution need be evaluated, and except for the form of the covariance, the maximization algorithm carries ...
Drum, Melinda L., McCullagh, Peter
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Ludwig Remling, Bruderschaften in Franken

1970
Rottenburger Jahrbuch für Kirchengeschichte, Bd.
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[Comparison of MIVQUE and REML with Monte Carlo simulation].

Yi chuan xue bao = Acta genetica Sinica, 1996
A comparison of two methods for estimation of variance component, MIVQUE and REML, was carried out on four data sets with Monte Carlo simulation. The model used was the sire model containing herd-year-season(HYS) effect (fixed), sire group effect(fixed) and sire effect(random), which is widely used in dairy cattle breeding.
Q, Zhang, Y, Zhang, Z, Liu, H, Haussmann
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A direct derivation of the REML likelihood function

Statistical Papers, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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REML Estimation of Covariance Matrices with Restricted Parameter Spaces

Journal of the American Statistical Association, 1995
Abstract Restricted parameter spaces for covariance matrices, such as ∑ = σ2 I or ∑ = αI + βJ, are often used to simplify estimation. In addition, fixed upper and/or lower bounds may be needed to ensure that estimates satisfy a priori hypotheses.
James A. Calvin, Richard L. Dykstra
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Regularized REML for Estimation in Heteroscedastic Regression Models

2011
In this paper, we propose a regularized restricted maximum likelihood(REML) method for simultaneous variable selection in heteroscedastic regression models. Under certain regularity conditions, we establish the consistency and asymptotic normality of the resulting estimator.
Dengke Xu, Zhongzhan Zhang
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Selecting the Best Linear Mixed Model Under REML

The American Statistician, 2006
Restricted maximum likelihood (REML) estimation of the parameters of the mixed model has become commonplace, even becoming the default option in many statistical software packages. However, a review of the literature indicates a need to update and clarify model selection techniques under REML, as ambiguities exist on the appropriateness of existing ...
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Reml and best linear unbiased prediction in state space models

Communications in Statistics - Theory and Methods, 1994
This article takes a hierarchical model approach to the estimation of state space models with diffuse initial conditions. An initial state is said to be diffuse when it cannot be assigned a proper prior distribution. In state space models this occurs either when fixed effects are present or when modelling nonstationarity in the state transition ...
John Tsimikas, Johnnes Ledolter
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The use of REML in variety testing

1997
Variety testing is an important process in plant breeding. Every year new varieties enter and the others leave the field experiments on many different sites. This makes the data sets unbalanced and many problems can not be solved by the standard ANOVA procedure.
Gunjača, Jerko, Pecina, Marija
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