Dimension spectra for multbfractal measures with connections to nonparametric density estimation∗

DOI10.1080/10485250108832857zbMath1112.62322OpenAlexW2139940565MaRDI QIDQ2744166

Attila Frigyesi, Ola G. Hössjer

Publication date: 19 September 2001

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485250108832857

Mathematics Subject Classification ID

Density estimation (62G07) Nonparametric estimation (62G05) Fractals (28A80)

Cites Work

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• The infinite number of generalized dimensions of fractals and strange attractors
• Upper and lower bounds on the Renyi dimensions and the uniformity of multifractals
• Rigorous statistical procedures for data from dynamical systems
• Some results on the behavior and estimation of the fractal dimensions of distributions on attractors
• Ergodic theorems arising in correlation dimension estimation.
• A test for singularity
• A consistent approach to least squares estimation of correlation dimension in weak Bernoulli dynamical systems
• THE MULTIFRACTAL FORMALISM REVISITED WITH WAVELETS
• A theory of correlation dimension for stationary time series

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