Strong consistency rates of estimators in semi-parametric errors-in-variables model with missing responses

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In this article, we focus on the semi-parametric error-in-variables model with missing responses: yi = ?i? + g(ti)+ ?i,xi = ?i + ?i, where yi are the response variables missing at random, (?i,ti) are design points, ?i are the potential variables observed with measurement errors ?i, the unknown slope parameter ? and nonparametric component g(?) need to be estimate. Here we choose three different approaches to estimate ? and g(?). Under appropriate conditions, we study the strong consistency rates for the proposed estimators. In general, we concluded that the strong consistency rates for all estimators can achieve o(n-1/4).