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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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Abstract

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: http://www.sciencedirect.com/science/journal/03759...
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
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 26 Jan 2009 14:49
URL: http://eprints.lse.ac.uk/22239/

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