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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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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.
Library of Congress subject classification: Q Science > QA Mathematics
Q Science > QC Physics
Sets: Research centres and groups > Centre for the Analysis of Time Series (CATS)
Departments > Statistics
Date Deposited: 26 Jan 2009 14:49

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