Probability -- Parameter Estimation, Confidence Regions and Hypothesis Testing -- Linear Model -- Special Models and Applications -- Numerical Methods. to Bayesian Statistics Second, updated and enlarged Edition With 17 Figures Professor Dr. -Ing. , Dr. -Ing. E. h. mult. Karl-Rudolf Koch (em. ) University of Bonn Institute of Theoretical Geodesy Nussallee 17 53115 Bonn E-mail: koch@geod. uni-bonn. de Library of Congress Control Number: 2007929992 ISBN 978-3-540-72723-1 Springer Berlin Heidelberg New York ISBN (1. Aufl) 978-3-540-66670-7 Einführung in Bayes-Statistik 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-Verlag. 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 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. Cover design: deblik, Berlin Production: Almas Schimmel Typesetting: Camera-ready by Author Printed on acid-free paper 30/3180/as 5 4 3 2 1 0 PrefacetotheSecondEdition This is the secondandtranslatededitionof the Germanbook "Einfuhr ung in die Bayes-Statistik, Springer-Verlag, Berlin Heidelberg New York, 2000".