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On Randomizing Estimators in Linear Regression Models
2000In 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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A Medical Application of the General Random Coefficient Regression Model
Biometrical Journal, 1990AbstractRCR models are reviewed. Various variance estimators are described, among them a new one. These variance estimators are compared in a simulation study. An obstetric data set is subjected to a detailed analysis by means of RCR techniques. In particular, interval estimation is considered.
Bondeson, J., Lanke, J.
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Regression analysis: Random effects models
2016AbstractThis chapter considers model formulation and interpretation, estimation and testing in regression equations with random intercept heterogeneity. Compared with Chapter 2, assumptions are strengthened and the parametrization made more parsimonious.
Erik Biørn, Erik Biørn, Erik Biørn
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Estimation of random coefficient regression models
Journal of Statistical Computation and Simulation, 1981Linear 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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Linear Regression Model with Random Coefficients
Biometrical Journal, 1984AbstractEstimation 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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Optimal Designs in Random Coefficient Linear Regression Models
Calcutta Statistical Association Bulletin, 1996In 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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A Class of Linear Regression Models for Imprecise Random Elements
2013The linear regression problem of a fuzzy response variable on a set of real and/or fuzzy explanatory variables is investigated. The notion of LR fuzzy random variable is introduced in this connection, leading to the probabilization of the center and the left and right spreads of the response variable. A specific metric is suggested for coping with this
COPPI, Renato +2 more
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Clustering via Mixture Regression Models with Random Effects
2008In this paper, we consider the use of mixtures of linear mixed models to cluster data which may be correlated and replicated and which may have covariates. For each cluster, a regression model is adopted to incorporate the covariates, and the correlation and replication structure in the data are specified by the inclusion of random effects terms.
McLachlan, G. J., Ng, S. K., Wang, K.
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Random regression models: a longitudinal perspective
Journal of Animal Breeding and Genetics, 2008L R, Schaeffer, J, Jamrozik
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Modelling interaction by regression with random coefficients
1989International ...
Denis, J.B., Dhorne, T.
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