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On Randomizing Estimators in Linear Regression Models

2000
In this work we consider a special kind of randomization in the analysis of linear regression. This randomization is connected to the Δ2-distribution which was first introduced by Ermakov and Zolotukhin (1960) for decreasing the variance in the Monte Carlo calculation of integrals. The resulting resampling procedure allows for separating the systematic
S. Ermakov, R. Schwabe
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Optimal Designs in Random Coefficient Linear Regression Models

Calcutta Statistical Association Bulletin, 1996
In this paper we consider a random coefficients regression model in the context of repeated measurements. The measurements are taken at consecutive points for several experimental units, and the total number of measurements have a fixed upper bound.
Liski, Erkki P.   +2 more
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Analysis of longitudinal data: Random coefficient regression modelling

Statistics in Medicine, 1994
AbstractWe review random coefficient regression (RCR) models and methods for fitting these models from an applications perspective. Methods for data with exponential family distributions are presented with the Gaussian distribution as a special case.
C M, Rutter, R M, Elashoff
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Linear Regression Model with Random Coefficients

Biometrical Journal, 1984
AbstractEstimation of linear regression with random coefficients is studied in this work. Non‐negative estimates of variances are proposed. The result is a modification of works of SRIVASTAVA et al. (1981).
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Estimation of random coefficient regression models

Journal of Statistical Computation and Simulation, 1981
Linear regression models with coefficients across individual units regarded as random samples from some population are studied in this article from a Bayesian viewpoint. A prior distribution of the secondary parameters is derived following the Jeffreys rule. Posterior distribution of the primary and secondary parameters, and the predictive distribution
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Random regression models: a longitudinal perspective

Journal of Animal Breeding and Genetics, 2008
L R, Schaeffer, J, Jamrozik
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On testing random effects in the nested-error regression model

Communications in Statistics - Simulation and Computation, 2017
We derive an exact F-test for random effects in the nested-error regression model. The derivation utilizes a matrix decomposition that offers a transformation of the response vector into two indepe...
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Random-Coefficient Regression Modeling

2013
Kristine M. Molina   +58 more
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