Asymptotics for Statistical Distances Based on Voronoi Tessellations

R. Jiménez () and J. E. Yukich ()
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R. Jiménez: CESMa, Universidad Simón Bolívar
J. E. Yukich: Lehigh University

Journal of Theoretical Probability, 2002, vol. 15, issue 2, 503-541

Abstract: Abstract We obtain an information-type inequality and a strong law for a wide class of statistical distances between empirical estimates and random measures based on Voronoi tessellations. This extends some basic results in the asymptotic theory of sample spacings, when the cells of the Voronoi tessellation are interpreted as d-dimensional spacings.

Keywords: Voronoi tessellations; statistical distances; multi-dimensional spacings; entropy; φ-divergence (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1014819112010

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