Ergodic theorems arising in correlation dimension estimation.

DOI10.1007/BF02175554zbMath1081.62554MaRDI QIDQ1285244

Regis J. Serinko

Publication date: 1996

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

chaosdynamical systemsalmost sure convergencefractalmoment estimatorsGlivenko-Cantelli theoremleast square estimators

Mathematics Subject Classification ID

Applications of statistics (62P99) Inference from stochastic processes (62M99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80)

Related Items

Fluctuation bounds for chaos plus noise in dynamical systems ⋮ Statistical estimation of measure invariants ⋮ Dimension spectra for multbfractal measures with connections to nonparametric density estimation^∗ ⋮ Local correlation entropy ⋮ STRONG LAWS FOR RECURRENCE QUANTIFICATION ANALYSIS

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