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Lecture Notes in Statistics 183 Edited by P Lecture Notes in Statistics 183 Edited by P. Bickel, P. Diggle, S. Fienberg, U. Gather, I. Olkin, S. Zeger Michel Bilodeau Fernand Meyer Michel Schmitt (Editors) Space, Structure and Randomness Contributions in Honor of Georges Matheron in the Field of Geostatistics, Random Sets and Mathematical Morphology With 121 Figures Michel Bilodeau Fernand Meyer Michel Schmitt Ecole des Mines de Paris Ecole des Mines de Paris Ecole des Mines de Paris Centre de Morphologie Centre de Morphologie Direction des recherches Mathématique Mathématique 60 Boulevard Saint Michel 35 rue Saint Honoré 35 rue Saint Honoré 75272 Paris Cedex 06 77305 Fontainebleau 77305 Fontainebleau France France France [email protected] [email protected] [email protected] Library of Congress Control Number: 2005927580 ISBN 10: 0-387-20331-1 Printed on acid-free paper ISBN 13: 978-0387-20331-7 © 2005 Springer Science+Business Media, Inc. All rights reserved. This work may not be translated or copied in whole or in part without the written per- mission of the publisher (Springer Science+Business Media, Inc., 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Typesetting: Camera ready by the editors Printed in the United States of America (SB) 987654321 springeronline.com Lecture Notes in Statistics 144: L. Mark Berliner, Douglas Nychka, and Timothy Hoar (Editors), Case Studies in Statistics and the For information about Volumes 1 to 128, Atmospheric Sciences. x, 208 pp., 2000. please contact Springer-Verlag 145: James H. Matis and Thomas R. Kiffe, Stochastic Population Models. viii, 220 pp., 2000. 146: Wim Schoutens, Stochastic Processes and 129: Wolfgang Härdle, Gerard Kerkyacharian, Orthogonal Polynomials. xiv, 163 pp., 2000. Dominique Picard, and Alexander Tsybakov, Wavelets, Approximation, and Statistical 147: Jürgen Franke, Wolfgang Härdle, and Gerhard Applications. xvi, 265 pp., 1998. Stahl, Measuring Risk in Complex Stochastic Systems. xvi, 272 pp., 2000. 130: Bo-Cheng Wei, Exponential Family Nonlinear Models. ix, 240 pp., 1998. 148: S.E. Ahmed and Nancy Reid, Empirical Bayes and Likelihood Inference. x, 200 pp., 2000. 131: Joel L. Horowitz, Semiparametric Methods in Econometrics. ix, 204 pp., 1998. 149: D. 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Schmitt (Editors), Space, Structure and Randomness, xiv., 416 pp., 2005 171: D.D. Denison, M.H. Hansen, C.C. Holmes, B. Mallick, B. Yu (Editors), Nonlinear Estimation and Classification. x, 474 pp., 2002. 172: Sneh Gulati, William J. Padgett, Parametric and Nonparametric Inference from Record-Breaking Data. ix, 112 pp., 2002. Personal Reminiscences of Georges Matheron Dietrich Stoyan Institut f¨ur Stochastik, TU Bergakademie Freiberg I am glad that I had the chance to meet Georges Matheron personally once in my life, in October 1996. Like many other statisticians, I had learned a lot in the years before from his books, papers, and research reports produced in Fontainebleau. From the very beginning, I had felt a particular solidarity with him because he worked at the Ecole des Mines de Paris, together with Bergakademie Freiberg one of the oldest European mining schools. The first contact to his work occurred in talks with Hans Bandemer, who in the late 1960s had some correspondence with Georges Matheron. Proudly he showed me letters and reprints from Georges Matheron. He also had a copy of Georges Matheron’s thesis of 1965, 300 pages narrowly printed. Its first part used Schwartz’ theory of distributions (Laurent Schwartz was the supervisor) in the theory of regionalized variables, while the second part de- scribed the theory of kriging. Hans Bandemer was able to read the French text, translated it into German language and tried, without success, to find a German publisher. Unfortunately, the political conditions in East Germany prevented a meeting between Hans Bandemer and Georges Matheron. A bit later, in 1969, I saw George Matheron’s book “Trait´edeG´eostatis- tique Appliqu´ee”. It is typical of the situation in East Germany
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