Random Field Models in Earth Sciences

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Author(s): George Christakos
Genre: Science
Original Publish Date: Jul 12, 2012
Product Number: EB00795069
Released: Dec 04, 2019
Business Term: Purchase
ISBN: #9780486160917
Publisher: Dover Publications
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Description

This graduate-level text surveys the problems of earth and environmental sciences by means of theoretical models that have as an essential basis a purely random element. In addition to introducing students to spatiotemporal modeling as a fundamental methodology in the earth sciences, this volume illustrates the role of spatiotemporal modeling in the general framework of the scientific method. Starting with discussions of the science of the probable, the various theories of probability, and the physical significance of the random field model, the text explores a variety of problems in earth sciences in which the random field model constitutes an effective approach. A critical and concise summary of the fundamental concepts and results of the general random field theory is followed by considerations of the intrinsic spatial random field model, the factorable random field model, the spatiotemporal random field model, and space transformations of random fields. Additional topics include random field modeling of natural processes, the simulation of natural processes, estimation in space and time, and sampling design.

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