基于NOD误差的非参数回归模型估计的渐近性质

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

数学季刊 ›› 2015, Vol. 30 ›› Issue (2): 300-307.doi: 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

School of Mathematical Sciences, Anhui University

收稿日期:2013-12-21 出版日期:2015-06-30 发布日期:2020-11-24
作者简介: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.
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)；

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

School of Mathematical Sciences, Anhui University

Received:2013-12-21 Online:2015-06-30 Published:2020-11-24
About author: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.
Supported by:
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)；

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O212.1

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.

PENG Zhi-qing, ZHENG Lu-lu, LIU Yan-fang, XIAO Ru, WANG Xue-jun. Asymptotic Property for the Estimator of Nonparametric Regression Models Under Negatively Orthant Dependent Errors[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(2): 300-307.

基于NOD误差的非参数回归模型估计的渐近性质

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

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