David Harte

Multifractals (eBook, ePUB)

Theory and Applications

• Format: ePub

Produktbeschreibung

Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arenas. Multifractals: Theory and Applications pulls together ideas from both areas using a language that makes them accessible and useful to statistical scientists. It provides a framework for the evaluation of statistical properties of estimates of the Renyi fractal dimensions and includes a detailed case study of spatial point patterns of earthquake locations. With its careful yet practical blend of multifractals, estimation methods, and applications, this book offers the unique opportunity to explore estimation methods from a statistical perspective.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Erscheinungstermin: 26. Juni 2001
• Englisch
• ISBN-13: 9781040202180
• Artikelnr.: 73154865

Autorenporträt

Harte, David

Inhaltsangabe

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.