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Multifractals
- Theory and Applications
Engelsk
Bogcover for Multifractals af David Harte, 9780367455200
Specifikationer
Sprog:
Engelsk
Sider:
264
ISBN-13:
9780367455200
Indbinding:
Paperback
ISBN-10:
036745520X
Udg. Dato:
2 dec 2019
Størrelse i cm:
23,4 x 15,6
Oplagsdato:
2 dec 2019
Forfatter(e):
Paperback 2019
Format:

Bog beskrivelse
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 of statistical properties of estimates of the Renyi fractal dimensions.

The first section provides introductory material and different definitions of a multifractal measure. The author then examines some of the various constructions for describing multifractal measures. Building from the theory of large deviations, he focuses on constructions based on lattice coverings, covering by point-centered spheres, and cascades processes. The final section presents estimators of Renyi dimensions of integer order two and greater and discusses their properties. It also explores various applications of dimension estimation and provides a detailed case study of spatial point patterns of earthquake locations.

Estimating fractal dimensions holds particular value in studies of nonlinear dynamical systems, time series, and spatial point patterns. With its careful yet practical blend of multifractals, estimation methods, and case studies, Multifractals: Theory and Applications provides a unique opportunity to explore the estimation methods from a statistical perspective.



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Specifikationer
Sprog:
Engelsk
Sider:
264
ISBN-13:
9780367455200
Indbinding:
Paperback
ISBN-10:
036745520X
Udg. Dato:
2 dec 2019
Størrelse i cm:
23,4 x 15,6
Oplagsdato:
2 dec 2019
Forfatter(e):
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