Strong Consistency of Estimators under Missing Responses

• 作者: Jingjing Zhang Linran Zhang
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: SEMI-PARAMETRIC Model Error-in-Variables MISSING RESPONSES Strong CONSISTENCY
• 年，卷（期）: 2019,（1）
• 页码范围: 93-103
• 页数: 11页
• 分类号: O1

摘要

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 ß?and nonparametric component g(·) need to be estimated. Here we choose two different approaches to estimate ß?and g(·). Under appropriate conditions, we study the strong consistency for the proposed estimators.