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

2013/07/26 by Mohamed El Machkouri, Machkouri, Mohamed El
Decision Sciences · Mathematics · #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Probability and Risk Models #Statistics Theory (math.ST) #Stochastic processes and statistical mechanics #math.PR #math.ST #stat.TH

paper · pdf · doi:10.48550/arxiv.1307.7054

arxiv created 2013/07/26 · openalex publication_date 2013/07/26 · arxiv updated 2013/07/29 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

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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