Nearest-neighbor analysis of a family of fractal distributions

DOI10.1214/AOP/1176990948zbMath0715.60024OpenAlexW1964439989MaRDI QIDQ751698

Colleen D. Cutler, Donald A. Dawson

Publication date: 1990

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176990948

zbMATH Keywords

asymptotic normalityHausdorff dimensionstrong mixing conditioncentral limit theorem for entropy

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05)

Related Items (7)

Asymptotics for multisample statistics ⋮ Some results on the behavior and estimation of the fractal dimensions of distributions on attractors ⋮ About the Complexity Function in Small-ball Probability Factorization ⋮ A central limit theorem for measurements on the logarithmic scale and its application to dimension estimates ⋮ Estimation of dimension for spatially distributed data and related limit theorems ⋮ Estimating the complexity index of functional data: some asymptotics ⋮ Higher order estimation at Lebesgue points

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