Moderate deviations for LS estimator in simple linear EV regression model

In this paper, we consider the following simple linear Errors-in-Variables (EV) regression model η i = θ + β x i + ɛ i , ξ i = x i + δ i , 1 ⩽ i ⩽ n . The moderate deviation principle for the least squares (LS) estimators of the unknown parameters θ , β in the model are obtained.