Probability for Statisticians
This 2nd edition textbook offers a rigorous introduction to measure theoretic probability with particular attention to topics of interest to mathematical statisticians—a textbook for courses in probability for students in mathematical statistics. It
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Galen R. Shorack
Probability for Statisticians Second Edition
Springer Texts in Statistics Series editors R. DeVeaux S.E. Fienberg I. Olkin
More information about this series at http://www.springer.com/series/417
Galen R. Shorack
Probability for Statisticians Second Edition
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Galen R. Shorack Department of Statistics University of Washington Seattle, WA USA
Editorial Boards George Casella Department of Biometrices Cornell University Ithaca, NY USA Stephen Fienberg Department of Statistics Carnegie Mellon University Pittsburgh, PA USA Ingram Olkin Department of Statistics Stanford University Stanford, CA USA
ISSN 1431-875X ISSN 2197-4136 (electronic) Springer Texts in Statistics ISBN 978-3-319-52206-7 ISBN 978-3-319-52207-4 (eBook) DOI 10.1007/978-3-319-52207-4 Library of Congress Control Number: 2017941074 1st edition: © Springer-Verlag New York, Inc. 2000 2nd edition: © Springer International Publishing AG 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
This dedication to my parents is offered as a permanent gift to my family, so that my parents’ basic history may not be lost. To my Father—who loved me • Theodore James Shorack (August 20, 1904–July 31, 1983) Charleston, WV • With only a third-grade education, he taught me that mathematics is fun. • Effie, Minnesota; the Aleutian Islands; Eugene, Oregon. Homesteader, boxer, carpenter and contractor. He loved the mathematics of his carpenter’s square. • He loved his children with all his being. To my Mother—who praised me • Marcella (Blaha) Shorack (November 4, 1902–April 25, 1987) St. Paul, MN • “What you don’t have in your head, son, you’ll have to have in your feet” • Ef
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