English

Asymptotic normality of recursive estimators under strong mixing conditions

Statistics Theory 2012-12-11 v2 Statistics Theory

Abstract

The main purpose of this paper is to estimate the regression function by using a recursive nonparametric kernel approach. We derive the asymptotic normality for a general class of recursive kernel estimate of the regression function, under strong mixing conditions. Our purpose is to extend the work of Roussas and Tran [17] concerning the Devroye-Wagner estimate.

Keywords

Cite

@article{arxiv.1211.5767,
  title  = {Asymptotic normality of recursive estimators under strong mixing conditions},
  author = {Aboubacar Amiri},
  journal= {arXiv preprint arXiv:1211.5767},
  year   = {2012}
}