Rabi N. Bhattacharya Selected Papers
This volume presents some of the most influential papers published by Rabi N. Bhattacharya, along with commentaries from international experts, demonstrating his knowledge, insight, and influence in the field of probability and its applications. For
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Rabi N. Bhattacharya Selected Papers
~ Birkhauser
Contemporary Mathematicians Joseph P.S. Kung Editor
More information about this series at http://www.springer.com/series/4817
Manfred Denker • Edward C. Waymire Editors
Rabi N. Bhattacharya Selected Papers
Editors Manfred Denker Mathematics The Pennsylvania State University State College, PA, USA
Contemporary Mathematicians ISBN 978-3-319-30188-4 DOI 10.1007/978-3-319-30190-7
Edward C. Waymire Department of Mathematics Oregon State University Corvallis, OR, USA
ISBN 978-3-319-30190-7 (eBook)
Library of Congress Control Number: 2016932525 Mathematics Subject Classification (2010): 60-02, 60-06, 62-02, 62-06 © Springer International Publishing Switzerland 2016 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. Printed on acid-free paper This book is published under the trade name Birkhäuser The registered company is Springer International Publishing AG Switzerland (www.birkhauser-science.com)
Preface
It is our privilege and great honor to pay our tribute to our friend, collaborator, and teacher Rabi N. Bhattacharya in the form of this volume of selected papers, collecting some of his most influential papers together with commentaries of colleagues from around the world. For more than three decades, we have been able to see Rabi’s knowledge, insight, and influence in probability, statistics, and their applications grow; we hope this volume will shed some light on this fact and the reader will enjoy reading about Rabi’s scientific developments and the state of research his name represents. The book is divided into three parts, Modes of Approximation, Large Times for Markov Processes, and Stochastic Foundations in Applied Sciences, representing the main scientific contributions of Professor Bhattacharya. It ranges from theoretical statistics via analytical probability theory, Markov processes, and random dynamics to applied topics in statistics, economics, and geophysics. Such a wide range of interests is hardly over
