Collecting Spatial Data Optimum Design of Experiments for Random Fie
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 tren
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Werner G. Müller
Collecting Spatial Data Optimum Design of Experiments for Random Fields
Third Revised and Extended Edition
With 37 Figures and 8 Tables
123
Univ. Prof. Dr. Werner G. Müller Department of Applied Statistics Johannes Kepler University Linz Altenbergerstraße 69 4040 Linz Austria [email protected]
Originally published in the series: Contributions to Statistics by Physica-Verlag Heidelberg, Germany
Library of Congress Control Number: 2007932411
ISBN 978-3-540-31174-4 3. Edition Springer Berlin Heidelberg New York ISBN 978-3-7908-1333-3 2. Edition Physica-Verlag Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com © Springer-Verlag Berlin Heidelberg 1998, 2000, 2007 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Production: LE-TEX Jelonek, Schmidt & Vöckler GbR, Leipzig Cover-design: WMX Design GmbH, Heidelberg SPIN 11610878
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Preface to the Third Edition
In the past years the gap that this monograph had intended to close seems to have narrowed considerably, looking at the ever-growing scientific literature on theory and practice of spatial sampling. However, it also seems of convenience to have a concise collection of methods and references at hand, as this book aims to provide. This need may explain that a third edition of it was required. Of course recent research made it not only necessary to simply reprint the book but to add a sizable amount of text, especially concerning designs for the simultaneous estimation of trend and variogram parameters. The new developments in this area were taken into account by a rearrangement of the previous Chapter 6, which is now split in two. Most of the new material stems from joint work with E. Glatzer, D. Gumprecht, J. Lop´ez-Fidalgo, J. Rodr´ıguez-D´ıaz, and M. Stehl´ık, whom I am indebted for their collaboration. However, I take sole responsibility for any mistakes that may have found their way into this edition. I also wish to thank J. Laca for providing an additional example and M. Hainy and the participants of the statGIS 2006 summer school in Klagenfurt for their valuable feedback. I am grateful to Mrs. Wetzel-Vandai from Springer Verlag for the support of the new editi
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