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
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. |
| Divisions: | Centre for Analysis of Time Series Statistics |
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Date Deposited: | 26 Jan 2009 14:49 |
| Last Modified: | 21 Sep 2024 23:11 |
| URI: | http://eprints.lse.ac.uk/id/eprint/22239 |
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