A note on matrix variate normal distribution
Journal of Multivariate Analysis
Consistent estimation of coefficients in measurement error models with replicated observations
Journal of Multivariate Analysis
Restricted regression estimation in measurement error models
Computational Statistics & Data Analysis
Linear Models and Generalizations: Least Squares and Alternatives
Linear Models and Generalizations: Least Squares and Alternatives
Journal of Multivariate Analysis
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We study a multivariate ultrastructural measurement error (MUME) model with more than one response variable. This model is a synthesis of multivariate functional and structural models. Three consistent estimators of regression coefficients, satisfying the exact linear restrictions have been proposed. Their asymptotic distributions are derived under the assumption of a non-normal measurement error and random error components. A simulation study is carried out to investigate the small sample properties of the estimators. The effect of departure from normality of the measurement errors on the estimators is assessed.