Introduction to Mathematical Statistics

to Mathematical Statistics Translated from the German by Kenneth Wickwire Springer-Verlag Berlin Heidelberg New York 1974 Leopold Schmetterer Professor of Statistics and Mathematics at the University of Vienna Translator: Kenneth Wickwire Department of Mathematics, University of Manchester Title of the German Original Edition: Einfiihrung in die mathematische Statistik, 2. verbesserte und wesentlich erweiterte Auflage Springer-Verlag Wien New York 1966 With 11 figures AMS Subject Classification (1970): 62-01, 62 Axx, 62 Bxx, 62 Cxx, 62D03, 62 Exx, 62 Fxx, 62 Gxx, 62 Hxx ISBN-13: 978-3-642-65544-9 e-ISBN-13: 978-3-642-65542-5 DOl: 10. 1007/978-3-642-65542-5 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. (c) by Springer-Verlag Berlin- Heidelberg 1974. Library of Congress Catalog Card Number 73-15290. Softcover reprint of the hardcover 1 st edition 1974 Bookbinding: Konrad Triltsch, Wiirzburg. Preface I have used the opportunity of the second edition of the German version being translated into English to alter and improve some details. Of course I tried to correct misprints and errata of the original version. Moreover some proofs have been slightly changed and I hope thereby improved.