Robust and efficient estimation for nonlinear model based on composite quantile regression with missing covariates

In this article, two types of weighted quantile estimators were proposed for nonlinear models with missing covariates. The asymptotic normality of the proposed weighted quantile average estimators was established. We further calculated the optimal weights and derived the asymptotic distributions of...

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Bibliographic Details
Main Authors: Qiang Zhao, Chao Zhang, Jingjing Wu, Xiuli Wang
Format: Article
Language:English
Published: AIMS Press 2022-02-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022452?viewType=HTML
Description
Summary:In this article, two types of weighted quantile estimators were proposed for nonlinear models with missing covariates. The asymptotic normality of the proposed weighted quantile average estimators was established. We further calculated the optimal weights and derived the asymptotic distributions of the correspondingly resulted optimal weighted quantile estimators. Numerical simulations and a real data analysis were conducted to examine the finite sample performance of the proposed estimators compared with other competitors.
ISSN:2473-6988