Geodesic
Strong consistency rates of estimators in semi-parametric errors-in-variables model with missing responses
Filomat, Tome 33 (2019) no. 18, p. 6073

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In this article, we focus on the semi-parametric error-in-variables model with missing responses: yi = ξiβ + 1(ti) + i, xi = ξi + µi, where yi are the response variables missing at random, (ξi, ti) are design points, ξi are the potential variables observed with measurement errors µi, the unknown slope parameter β and nonparametric component 1(·) need to be estimate. Here we choose three different approaches to estimate β and 1(·). 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).
DOI : 10.2298/FIL1918073Z
Classification : 62J12, 62N02, 62E99
Keywords: Semi-parametric model, Error-in-variables, Missing responses, Strong consistency rate 
Jingjing Zhang; Linran Zhang. Strong consistency rates of estimators in semi-parametric errors-in-variables model with missing responses. Filomat, Tome 33 (2019) no. 18, p. 6073 . doi: 10.2298/FIL1918073Z
@article{10_2298_FIL1918073Z,
     author = {Jingjing Zhang and Linran Zhang},
     title = {Strong consistency rates of estimators in semi-parametric errors-in-variables model with missing responses},
     journal = {Filomat},
     pages = {6073 },
     year = {2019},
     volume = {33},
     number = {18},
     doi = {10.2298/FIL1918073Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1918073Z/}
}
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