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 ηi=θ+βxi+ɛi, ξi=xi+δi, 1⩽i⩽n. The moderate deviation principle for the least squares (LS) estimators of the unknown parameters θ, β in the model are obtained.