Modern Mathematical Statistics with Applications

Many mathematical statistics texts are heavily oriented toward a rigorous mathematical development of probability and statistics, without much attention paid to how statistics is actually used.. In contrast, Modern Mathematical Statistics with Application

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For further volumes: http://www.springer.com/series/417

Modern Mathematical Statistics with Applications Second Edition

Jay L. Devore California Polytechnic State University

Kenneth N. Berk Illinois State University

Jay L. Devore California Polytechnic State University Statistics Department San Luis Obispo California USA [email protected]

Kenneth N. Berk Illinois State University Department of Mathematics Normal Illinois USA [email protected]

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ISBN 978-1-4614-0390-6 e-ISBN 978-1-4614-0391-3 DOI 10.1007/978-1-4614-0391-3 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011936004 # Springer Science+Business Media, LLC 2012 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 (www.springer.com)

To my wife Carol whose continuing support of my writing efforts over the years has made all the difference.

To my wife Laura who, as a successful author, is my mentor and role model.

About the Authors

Jay L. Devore Jay Devore received a B.S. in Engineering Science from the University of California, Berkeley, and a Ph.D. in Statistics from Stanford University. He previously taught at the University of Florida and Oberlin College, and has had visiting positions at Stanford, Harvard, the University of Washington, New York University, and Columbia. He has been at California Polytechnic State University, San Luis Obispo, since 1977, where he was chair of the Department of Statistics for 7 years and recently achieved the exalted status of Professor Emeritus. Jay has previously authored or coauthored five other books, including Probability and Statistics for Engineering and the Sciences, which won a McGuffey Longevity Award from the Text and Academic Authors Association for demonstrated excellence over time. He is a Fellow of the American Statistical Association, has been an associate editor for both the Journal of the American Statistical Association and The American Statistician, and received the Distinguished Teaching Award from Cal Poly in 1991. His recreational interests include reading, playing tennis, traveling, and cooking and eating good food.

Kenneth N. Berk Ken Berk has a B.S. in Physics from Carnegie Tech (now Carnegie Mellon) and a Ph.D. in Mathematics