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REML and ML estimation for clustered grouped survival data
Statistics in Medicine, 2003AbstractClustered grouped survival data arise naturally in clinical medicine and biological research. For example, in a randomized clinical trial, the variable of interest is the time to occurrence of a certain event with or without a new treatment and the data are collected from possibly correlated subjects from independent clusters.
Ip, D, Lam, KF
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REML Estimation for Survival Models with Frailty
Biometrics, 1993A method of estimation for generalised mixed models is applied to the estimation of regression parameters in proportional hazards models for failure times when there are repeated observations of failure on each subject. The subject effect is incorporated into the model as a random frailty term.
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t-REML for Robust Heteroscedastic Regression Analysis of Mitochondrial Power
Biometrics, 1993The paper reports a long series of observations on two statistically independent variates which have different nonlinear regressions on the same parameter vector. In our analysis of the data, heteroscedasticity is handled by residual maximum likelihood, REML, but to cope with outliers as well, REML based on a t-specification, called t-REML, is ...
James, Alan T. +2 more
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Asymptotics for REML estimation of spatial covariance parameters
Journal of Statistical Planning and Inference, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cressie, Noel A, Lahiri, S
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MIVQUE and REML Estimators of Variance Components under Proportionality Condition
Biometrical Journal, 1998Summary: 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, 1993Residual 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
1970Rottenburger Jahrbuch für Kirchengeschichte, Bd.
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[Comparison of MIVQUE and REML with Monte Carlo simulation].
Yi chuan xue bao = Acta genetica Sinica, 1996A 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, 2007zbMATH 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, 1995Abstract 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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