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

PENG Zhi-qing, ZHENG Lu-lu, LIU Yan-fang, XIAO Ru, WANG Xue-jun

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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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.

Received date: 2013-12-21

Online published: 2020-11-24

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)；

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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

Cite this article

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

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