TITLE:
Strong Consistency of Estimators under Missing Responses
AUTHORS:
Linran Zhang, Jingjing Zhang
KEYWORDS:
Semi-Parametric Model, Error-in-Variables, Missing Responses, Strong Consistency
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.1,
January
15,
2019
ABSTRACT: In this article, we focus on the semi-parametric
error-in-variables model with missing responses: , where yi are the
response variables missing at random, are design
points, ζi are the
potential variables observed with measurement errors μi, the unknown slope parameter ßand
nonparametric component g(·) need to be
estimated. Here we choose two different approaches to estimate ßand g(·). Under appropriate conditions, we study the strong
consistency for the proposed estimators.