Estimation of dimension for spatially distributed data and related limit theorems

DOI10.1016/0047-259X(89)90100-0zbMath0688.62036OpenAlexW2002491212MaRDI QIDQ1263905

Donald A. Dawson, Colleen D. Cutler

Publication date: 1989

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(89)90100-0

zbMATH Keywords

interval estimationregular distributionsasymptotic confidence intervalsconsistent estimator of dimensiondimensional structure of probability distributions on Euclidean spacenearest neighbor statistic

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Estimation in multivariate analysis (62H12) Parametric tolerance and confidence regions (62F25) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Length, area, volume, other geometric measure theory (28A75)

Related Items (8)

Measuring the local dimension of point clouds ⋮ On the shortest distance between orbits and the longest common substring problem ⋮ Some results on the behavior and estimation of the fractal dimensions of distributions on attractors ⋮ A central limit theorem for measurements on the logarithmic scale and its application to dimension estimates ⋮ Connecting ergodicity and dimension in dynamical systems ⋮ Extreme value theory for singular measures ⋮ Estimation of fractal dimension and fractal curvatures from digital images ⋮ Nearest neighbour distance and dimension of intensity measure of Poisson point process

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