Limit theorems for short distances in \(\mathbb{R}^m\)

DOI10.1016/S0167-7152(99)00066-8zbMath0943.60029OpenAlexW1994984997MaRDI QIDQ1124991

Vera R. Eastwood, Lajos Horváth

Publication date: 4 September 2000

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(99)00066-8

zbMATH Keywords

weak convergencenormal distributionclose pairs

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17)

Related Items (1)

On local \(U\)-statistic processes and the estimation of densities of functions of several sample variables

Cites Work

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• Limit theorems for a triangular scheme of U-statistics with applications to inter-point distances
• Short distances on the line
• Asymptotic normality of the number of small distances between random points in a cube
• Approximation Theorems of Mathematical Statistics
• Central limit theorems for a class of symmetric statistics
• Short distances, flat triangles and Poisson limits
• Die asymptotische Verteilung von Koinzidenzen

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