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Collecting spatial data [electronic resource] : optimum design of experiments for random fields / Werner G. Müller

Author
Müller, W. G. (Werner G.)
Published
Berlin ; New York : Springer, [2007]
Copyright Date
©2007
Edition
3rd rev. and extended ed.
Physical Description
1 online resource (xii, 242 pages) : illustrations
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Contents
Machine generated contents note: 2.Fundamentals of Spatial Statistics -- 2.1.Estimation of Spatial Trend -- 2.2.Universal Kriging -- 2.3.Local Regression -- 2.4.Variogram Fitting -- 2.5.Example -- 2.6.Exercises -- 3.Fundamentals of Experimental Design -- 3.1.Information Matrices -- 3.2.Design Criteria -- 3.3.Numerical Algorithms -- 3.4.Further Design Topics Useful in the Spatial Setting -- 3.5.Example -- 3.6.Exercises -- 4.Exploratory Designs -- 4.1.Deterministic and Random Sampling -- 4.2.Space Filling Designs -- 4.3.Designs for Local Regression -- 4.4.Model Discriminating Designs -- 4.5.Example -- 4.6.Exercises -- 5.Designs for Spatial Trend Estimation -- 5.1.Approximate Information Matrices -- 5.2.Replication-Free Designs -- 5.3.Designs for Correlated Fields -- 5.4.Designs for Spatial Prediction -- 5.5.Example -- 5.6.Exercises -- 6.Design and Dependence -- 6.1.Designs for Detecting Spatial Dependence -- 6.2.Designs for Variogram Estimation -- 6.3.Methods Based on Likelihood Approaches -- 6.4.Example -- 6.5.Exercises -- 7.Multipurpose Designs -- 7.1.Combining Different Purpose Designs -- 7.2.Likelihood-based Approaches -- 7.3.Alternative 'Direct' Approaches -- 7.4.Example -- 7.5.Exercises -- A.1.Data Sets -- A.2.Proofs for Chapter 2 -- A.3.Proofs for Chapter 3 -- A.4.Proofs for Chapter 4 -- A.5.Proofs for Chapter 5 -- A.6.Proofs for Chapter 6 -- A.7.Proofs for Chapter 7 -- A.8.D2PT Description.
Summary
The book is concerned with the statistical theory for locating spatial sensors. It bridges the gap between spatial statistics and optimum design theory. After introductions to those two fields the topics of exploratory designs and designs for spatial trend and variogram estimation are treated. Special attention is devoted to describing new methodologies to cope with the problem of correlated observations. A great number of relevant references are collected and put into a common perspective. The theoretical investigations are accompanied by a practical example, the redesign of an Upper-Austrian
Subject(s)
ISBN
9783540311751
3540311750
Note
AVAILABLE ONLINE TO AUTHORIZED PSU USERS.
Bibliography Note
Includes bibliographical references.
Reproduction Note
Electronic reproduction. Berlin : Springer, 2007. Mode of access: World Wide Web. Available via SpringerLink.
View MARC record | catkey: 4567867