Probability Approximations and Beyond
In June 2010, a conference, Probability Approximations and Beyond, was held at the National University of Singapore (NUS), in honor of pioneering mathematician Louis Chen. Louis is perhaps best known for his elegant Poisson approximation method, developed
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Series Editors Peter Bickel P. J. Diggle Stephen E. Fienberg Ursula Gather Ingram Olkin Scott Zeger
For further volumes: http://www.springer.com/series/8440
Andrew D. Barbour Hock Peng Chan David Siegmund •
Editors
Probability Approximations and Beyond
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Andrew D. Barbour Institut für Mathematik Universität Zürich Winterthurerstr. 190 8057 Zürich, Switzerland e-mail: [email protected]
David Siegmund Department of Statistics Stanford University Serra Mall 390, Sequoia Hall 94305 Stanford CA, USA e-mail: [email protected]
Hock Peng Chan Department of Statistics and Applied Probability National University of Singapore Singapore 119260 Republic of Singapore e-mail: [email protected]
ISSN 0930-0325 ISBN 978-1-4614-1965-5 DOI 10.1007/978-1-4614-1966-2
e-ISBN 978-1-4614-1966-2
Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011941623 Ó 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)
Preface
Louis Chen: A Celebration On 25 and 26 June 2010, a conference, Probability Approximations and Beyond, was held at the National University of Singapore (NUS) to honor Louis Chen on his 70th birthday. Professor Chen is the Tan Chin Tuan Centennial Professor and Professor in both the Department of Mathematics and the Department of Statistics and Applied Probability. He is also the founding Director of the Institute for Mathematical Sciences at the NUS. Growing up as one of five brothers and a sister during WorldWar II and the immediate postwar period, Louis developed his life-long interests in mathematics and music. He graduated from the University of Singapore1 in 1964; and after teaching briefly in Singapore, he began graduate studies in the United States. He earned a Master’s and a Ph.D. in Statistics at Stanford University, where he wrote his Ph.D. thesis under the supervision of Professor Charles Stein. During his time at Stanford, Louis met his future wife, Annabelle, who was then a summer school student at Stanford. During his Ph.D. studies, Louis made the first of several seminal contributions to the theory and application of Stein’s method. This appeared in his famous 1975 paper on Poisson approximation for dependent trials, and laid the foundation for what is n
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