A maximum likelihood approach to correlation dimension and entropy estimation | Zendy

Erik Olofsen | Zendy; J. DeGoede | Zendy; Reinout Heijungs | Zendy

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A maximum likelihood approach to correlation dimension and entropy estimation

Author(s) -

Erik Olofsen,

J. DeGoede,

Reinout Heijungs

Publication year - 1992

Publication title -

bulletin of mathematical biology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.693

H-Index - 89

eISSN - 1522-9602

pISSN - 0092-8240

DOI - 10.1007/bf02458619

Subject(s) - estimator , mathematics , monte carlo method , dimension (graph theory) , correlation dimension , statistical physics , correlation , entropy (arrow of time) , series (stratigraphy) , maximum likelihood , principle of maximum entropy , statistics , mathematical analysis , physics , fractal dimension , combinatorics , thermodynamics , paleontology , geometry , biology , fractal

To obtain the correlation dimension and entropy from an experimental time series we derive estimators for these quantities together with expressions for their variances using a maximum likelihood approach. The validity of these expressions is supported by Monte Carlo simulations. We illustrate the use of the estimators with a local recording of atrial fibrillation obtained from a conscious dog.

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