基于NOD误差的非参数回归模型估计的渐近性质

彭智庆, 郑璐璐, 刘艳芳, 潇如, 王学军

doi:10.13371/j.cnki.chin.q.j.m.2015.02.018

数学季刊 >

2015 , Vol. 30 >Issue 2: 300 - 307

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.02.018

基于NOD误差的非参数回归模型估计的渐近性质

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School of Mathematical Sciences, Anhui University

PENG Zhi-qing(1989-), male, native of Anqing, Anhui, M.S.D., engages in probability limit theorem; WANG Xue-jun(1981-), male, native of Hefei, Anhui, an associate professor of Anhui Universiry, Ph.D., engages in probability limit theorem.

收稿日期: 2013-12-21

网络出版日期: 2020-11-24

基金资助

Supported by the Research Teaching Model Curriculum of Anhui University(xjyjkc1407)； Supported by the Students Innovative Training Project of Anhui University(201310357004,201410357117,201410357249)； Supported by the Quality Improvement Projects for Undergraduate Education of Anhui University(ZLTS2015035)；

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Asymptotic Property for the Estimator of Nonparametric Regression Models Under Negatively Orthant Dependent Errors

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School of Mathematical Sciences, Anhui University

Received date: 2013-12-21

Online published: 2020-11-24

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摘要

In this paper, by using some inequalities of negatively orthant dependent(NOD,in short) random variables and the truncated method of random variables, we investigate the nonparametric regression model. The complete consistency result for the estimator of g(x) is presented.

关键词： negatively orthant dependent random variables; nonparametric regression model; complete consistency

本文引用格式

彭智庆, 郑璐璐, 刘艳芳, 潇如, 王学军 . 基于NOD误差的非参数回归模型估计的渐近性质[J]. 数学季刊, 2015 , 30(2) : 300 -307 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.02.018

Abstract

Key words： negatively orthant dependent random variables; nonparametric regression model; complete consistency

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