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On the asymptotic normality of frequency polygons for strongly mixing spatial processes

Statistics Theory 2013-07-29 v1 Probability Statistics Theory

Abstract

This paper establishes the asymptotic normality of frequency polygons in the context of stationary strongly mixing random fields indexed by Zd\Z^d. Our method allows us to consider only minimal conditions on the width bins and provides a simple criterion on the mixing coefficients. In particular, we improve in several directions a previous result by Carbon, Francq and Tran (2010).

Keywords

Cite

@article{arxiv.1307.7054,
  title  = {On the asymptotic normality of frequency polygons for strongly mixing spatial processes},
  author = {Mohamed El Machkouri},
  journal= {arXiv preprint arXiv:1307.7054},
  year   = {2013}
}