Fundamentals of Probability - A First Course Springer - DasGupta 2010.pdf


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Springer Texts in Statistics
Series Editors:
G. Casella
S. Fienberg
I. Olkin
For other titles published in this series, go to
ies/417
Anirban DasGupta
Fundamentals of Probability:
A First Course
123
Anirban DasGupta
Purdue University
Dept. Statistics & Mathematics
150 N. University Street
West Lafayette IN 47907
USA
******@
Editorial Board
e Casella Stephen Fienberg Ingram Okin
Department of Statistics Department of Statistics Department of Statistics
University of Florida Carnegie Mellon University Stanford University
Gainesville, FL 32611-8545 Pittsburgh, PA 15213-3890 Stanford, CA 94305
USA USA USA
MathematicaR is a registered trademark of Wolfram Research, Inc.
ISSN 1431-875X
ISBN 978-1-4419-5779-5 e-ISBN 978-1-4419-5780-1
DOI -1-4419-5780-1
Springer New York Dordrecht Heidelberg London
Library of Congress Control Number: 2010924739
c Springer Science+Business Media, LLC 2010
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Springer Science+Business Media, LLC, 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.
Printed on acid-free paper
Springer is part of Springer Science+Business Media ()
To the Memory of William Feller, whose
books inspired my love of probability, and to
Dev Basu, the greatest teacher I have known
Preface
Probability theory is one branch of mathematics that is simultaneously deep and
imme

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