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

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 |
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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: | 17 Feb 2021 10:58 |

URI: | http://eprints.lse.ac.uk/id/eprint/22239 |

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