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

Mohamed El Machkouri (1)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem

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).

Mots clés: Central limit theorem; spatial processes; random fields; nonparametric density estimation; frequency polygon; histogram; mixing

Domaines: Statistiques [math.ST]; Théorie [stat.TH]; Probabilités [math.PR]

Mohamed El Machkouri. On the asymptotic normality of frequency polygons for strongly mixing spatial processes. 2012. ⟨hal-00848605⟩