Multiscale Modeling A Bayesian Perspective /

• Main Authors: Ferreira, Marco A. R. (Author), Lee, Herbert K. H. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2007.
• Series: Springer Series in Statistics,
• Subjects: Statistics.; Computer simulation.; Image processing.; Geography.; Probabilities.; Econometrics.; Statistical Theory and Methods.; Probability Theory and Stochastic Processes.; Simulation and Modeling.; Image Processing and Computer Vision.; Geography, general.

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...

Table of Contents:

• 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.