Advances in Multivariate Statistical Analysis Pillai Memorial Volume
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THEORY AND DECISION LIBRARY
General Editors: W. Leinfellner and G. Eberlein Series A: Philosophy and Methodology of the Social Sciences Editors: W. Leinfellner (Technical University of Vienna) G . Eberlein (Technical University of Munich) Series B: Mathematical and Statistical Methods Editor: H. Skala (University of Paderborn) Series C: Game Theory, Mathematical Programming and Mathematical Economics Editor: S. Tijs (University of Nijmegen) Series D: System Theory, Knowledge Engineering and Problem Solving Editor: W. Janko (University of Vienna)
SERIES B: MATHEMATICAL AND STATISTICAL METHODS Editor: H. Skala (Paderborn)
Editorial Board
J. Aczel (Waterloo), G. Bamberg (Augsburg), W. Eichhorn (Karlsruhe), P. Fishburn (New Jersey), D. Fraser (Toronto), B. Fuchssteiner (Paoerborn), W. Janko (Vienna), P. de Jong (Vancouver), M. Machina (San Diego), A. Rapoport (Toronto), M . Richter (Aachen), D. Sprott (Waterloo), P. Suppes (Stanford), H. Theil (Florida), E. Trillas (Madrid), L. Zadeh (Berkeley) .
Scope The series focuses on the application of methods and ideas of logic, mathematics and statistics to the social sciences. In particular, formal treatment of social phenomena, the analysis of decision making, information theory and problems ofinference will be central themes. of this part of the library. Besides theoretical results, empirical investigations and the testing of theoretical models of real world problems will be subjects of interest. In addition to emphasizing interdisciplinary communication, the series will seek to support the rapid dissemination of recent results.
ADVANCES IN MULTIVARIATE STATISTICAL ANALYSIS Pillai Memorial Volume
Edited by
A.K.GUPTA Department of Mathematics and Statistics, Bowling Green State University, Ohio, U.S.A.
SPRINGER-SCIENCE+BUSINESS MEDIA, B.V.
Library of Congress Cataloging in Publication Data
Advances in multivariate statistica! analysis. (Theory and decision library. Series B, Mathematical and Statistica! methods) "Pillai memorial volume." Bibliography: p. Includes index. 1. Multivariate analysis. 2. Sreedharan Pillai, K. C., 1920-1985. 1. Gupta, A. K. Il. Series. QA278.A28 1987 519.5'35 87-9888 ISBN 978-90-481-8439-2 ISBN 978-94-017-0653-7 (eBook) DOI 10.1007/978-94-017-0653-7
AII Rights Reserved Springer Science+Business Media Dordrecht Originally published by D. Reidel Publishing Company, Dordrecht, Holland in 1987 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner
© 1987 by
To the memory of Professor K. C. Sreedharan Pillai
Professor K. C. Sreedharan Pillai (2.24.1920 - 6.5.1985)
TABLE OF CONTENTS xi
List of Contributors Preface
xiii
K. C. Sreedharan Pillai
BERGER, J. 0. and CHEN, S-Y. : 1\linimaxity of Empirical Bayes Estimators Derived from Subjective Hyperpriors. . . . . . • • • . . . . • • . . . . . . . . . . . . . .
