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Replicated data with measurement errors are frequently presented in economical, environmental, chemical, medical and other fields. In this paper, we discuss a replicated measurement error model under the class of scale mixtures of skew-normal distributions, which extends symmetric heavy and light tailed distributions to asymmetric cases. We also consider equation error in the model for displaying...
We propose a heteroscedastic replicated measurement error model based on the class of scale mixtures of skew-normal distributions, which allows the variances of measurement errors to vary across subjects. We develop EM algorithms to calculate maximum likelihood estimates for the model with or without equation error. An empirical Bayes approach is applied to estimate the true covariate and predict...
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