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Strong Consistency of Estimators under Missing Responses

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Document pages: 11 pages

Abstract: In this article, we focus on the semi-parametricerror-in-variables model with missing responses: , where yi are theresponse variables missing at random, are designpoints, ζi are thepotential variables observed with measurement errors μi, the unknown slope parameter ß andnonparametric component g(·) need to beestimated. Here we choose two different approaches to estimate ß and g(·). Under appropriate conditions, we study the strongconsistency for the proposed estimators.

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