Cantitate/Preț
Produs

Multifractals: Theory and Applications

Autor David Harte
en Limba Engleză Paperback – 2 dec 2019
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.
Citește tot Restrânge

Preț: 47940 lei

Preț vechi: 56400 lei
-15% Nou

Puncte Express: 719

Preț estimativ în valută:
9176 9538$ 7601£

Carte tipărită la comandă

Livrare economică 04-18 februarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780367455200
ISBN-10: 036745520X
Pagini: 264
Dimensiuni: 156 x 234 x 14 mm
Greutate: 0.45 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC

Public țintă

Professional Practice & Development

Cuprins

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.

Descriere

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 proper