Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (2): 300-307.doi: 10.13371/j.cnki.chin.q.j.m.2015.02.018

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

  

  1. 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)；

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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

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