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

Mohamed El Machkouri

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arXiv · 1307.7054

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

Mohamed El Machkouri

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Abstract

This paper establishes the asymptotic normality of frequency polygons in the context of stationary strongly mixing random fields indexed by $\Z^d$. 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).

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Mohamed El Machkouri. 2013-07-26. On the asymptotic normality of frequency polygons for strongly mixing spatial processes. https://arxiv.org/abs/1307.7054

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