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Intrinsic limits on dimension calculations

Smith, Leonard A. (1988) Intrinsic limits on dimension calculations. Physics Letters A, 133 (6). pp. 283-288. ISSN 0375-9601

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Identification Number: 10.1016/0375-9601(88)90445-8


The combined influences of boundary effects at large scales and nonzero nearest neighbor separations at small scales are used to compute intrinsic limits on the minimum size of a data set required for calculation of scaling exponents. A lower bound on the number of points required for a reliable estimation of the correlation exponent is given in terms of the dimension of the object and the desired accuracy. A method of estimating the correlation integral computed from a finite sample of a white noise signal is given.

Item Type: Article
Official URL:
Additional Information: © 1988 Elsevier B.V.
Divisions: Centre for Analysis of Time Series
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Date Deposited: 26 Jan 2009 14:49
Last Modified: 23 Jun 2024 23:15

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