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Beschreibung
A wide variety of processes occur on multiple scales, either naturally or as a consequence of measurement. This book contains methodology for the analysis of data that arise from such multiscale processes. The book brings together a number of recent developments and makes them accessible to a wider audience. Taking a Bayesian approach allows for full accounting of uncertainty, and also addresses the delicate issue of uncertainty at multiple scales. The Bayesian approach also facilitates the use of knowledge from prior experience or data, and these methods can handle different amounts of prior knowledge at different scales, as often occurs in practice.
A wide variety of processes occur on multiple scales, either naturally or as a consequence of measurement. This book contains methodology for the analysis of data that arise from such multiscale processes. The book brings together a number of recent developments and makes them accessible to a wider audience. Taking a Bayesian approach allows for full accounting of uncertainty, and also addresses the delicate issue of uncertainty at multiple scales. The Bayesian approach also facilitates the use of knowledge from prior experience or data, and these methods can handle different amounts of prior knowledge at different scales, as often occurs in practice.
Zusammenfassung
This book presents methodology for analyzing data that cocur on multiple scales (for example, daily and monthly data, or data at zip code and state levels). This is the first such book to focus on the Bayesian approach, which allows straightforward incorporation of prior knowledge, as well as estimates of uncertainty. Two worked case studies provide detailed examples of these methods in practice.
Inhaltsverzeichnis
Models for Spatial Data.- Illustrative Example.- Convolutions and Wavelets.- Convolution Methods.- Wavelet Methods.- Explicit Multiscale Models.- Overview of Explicit Multiscale Models.- Gaussian Multiscale Models on Trees.- Hidden Markov Models on Trees.- Mass-Balanced Multiscale Models on Trees.- Multiscale Random Fields.- Multiscale Time Series.- Change of Support Models.- Implicit Multiscale Models.- Implicit Computationally Linked Model Overview.- Metropolis-Coupled Methods.- Genetic Algorithms.- Case Studies.- Soil Permeability Estimation.- Single Photon Emission Computed Tomography Example.- Conclusions.
Details
Erscheinungsjahr: | 2007 |
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Fachbereich: | Wahrscheinlichkeitstheorie |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Inhalt: |
xii
245 S. |
ISBN-13: | 9780387708973 |
ISBN-10: | 0387708979 |
Sprache: | Englisch |
Herstellernummer: | 11009252 |
Einband: | Gebunden |
Autor: |
Lee, Herbert K. H.
Ferreira, Marco A. R. |
Hersteller: |
Springer US
Springer New York Springer US, New York, N.Y. |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 241 x 160 x 20 mm |
Von/Mit: | Herbert K. H. Lee (u. a.) |
Erscheinungsdatum: | 27.07.2007 |
Gewicht: | 0,559 kg |