Multifractals: Theory and Applications, 1st Edition (e-Book) book cover


Theory and Applications, 1st Edition

By David Harte

Chapman and Hall/CRC

264 pages

Purchasing Options:$ = USD
Hardback: 9781584881544
pub: 2001-06-26
eBook (VitalSource) : 9780429123665
pub: 2001-06-26
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Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arena. Multifractals: Theory and Applications pulls together ideas from both these areas using a language that makes them accessible and useful to statistical scientists. It provides a framework, in particular, for the evaluation

Table of Contents

INTRODUCTION AND PRELIMINARIES. Motivation and Background. Properties and Dimensions of Sets. Large Deviations. MULTIFRACTAL FORMALISM USING LARGE DEVIATIONS. The Multifractal Formalism. Lattice Based Multifractals. Point Centred Multifractals. Cascade Processes. ESTIMATION OF THE CORRELATION DIMENSIONS. Interpoint Distances of Order q and Intrinsic Bias. Estimation of the Correlation Dimensions. Extrinsic Sources of Bias. Case Studies. Bibliography.

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Probability & Statistics / General
MATHEMATICS / Probability & Statistics / Bayesian Analysis