Empirical likelihood-based dimension reduction inference for linear error-in-responses models with v

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In this paper, linear errors-in-response models are considered in the presence of validation data on the responses. A semiparametric dimension reduction technique is employed to define an estimator ofβ with asymptotic normality, the estimated empirical loglikelihoods and the adjusted empirical loglikelihoods for the vector of regression coefficients and linear combinations of the regression coefficients, respectively. The estimated empirical log-likelihoods are shown to be asymptotically distributed as weighted sums of independent x21 and the adjusted empirical loglikelihoods are proved to be asymptotically distributed as standard chi-squares, respectively.
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