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Multivariate Statistics: Theory and Applications - Proceedings of IX Tartu Conference on Multivariate Statistics and XX International Workshop on Matrices and Statistics PDF

178 Pages·2013·1.485 MB·English
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Multivariate Statistics THEORY AND APPLICATIONS 8705hc_9789814449397_tp.indd 1 22/2/13 8:46 AM TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk Proceedings of IX Tartu Conference on Multivariate Statistics and XX International Workshop on Matrices and Statistics Multivariate Statistics THEORY AND APPLICATIONS Tartu, Estonia, 26 June – 1 July 2011 Editor Tõnu Kollo University of Tartu, Estonia World Scientific NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • TAIPEI • CHENNAI 8705hc_9789814449397_tp.indd 2 22/2/13 8:46 AM Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. MULTIVARIATE STATISTICS: THEORY AND APPLICATIONS Proceedings of IX Tartu Conference on Multivariate Statistics and XX International Workshop on Matrices and Statistics Copyright © 2013 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN 978-981-4449-39-7 Printed in Singapore. HeYue - Multivariate Statistics.pmd 1 2/21/2013, 2:12 PM February15,2013 11:7 8705-MultivariateStatistics Tartu_ws-procs9x6 v PREFACE This volume consists of selected papers presented at the IX Tartu Confer- enceonMultivariateStatisticsorganizedjointlywiththeXXInternational Workshop on Matrices and Statistics. The conference was held in Tartu, Estonia from 26 June to 1 July 2011. More than 100 participants from 30 countries presented in four days recent devolopments on various topics of multivariate statistics. The papers cover wide range of problems in modern multivariate statistics including distribution theory and estimation, different models of multivariate analysis, design of experiments, new developments in high- dimensionalstatistics,samplesurveymethods,graphicalmodelsandappli- cations in different areas: medicine, transport, life and social sciences. The Keynote Lecture by Professor N. Balakrishnan was delivered as the Samuel Kotz Memorial Lecture. Thorough treatment of multivariate exponential dispersion models is given by Professor B. Jørgensen. A new generalapproachtosamplingplansissuggestedbyProfessorY.K.Belyaev. Professor E. Ahmed compares different strategies of estimating regression parameters. C. M. Cuadras introduces a generalization of Farley-Gumbel- Morgenstern distributions. As Editor I am thankful to the authors who have presented interest- ing and valuable results for publishing in the current issue. The book will be useful for researchers and graduate students who work in multivariate statistics. The same time numerous applications can give useful ideas to scientists in different areas of research. My special thanks go to the anony- mous Referees who have done great job and spent lot of time with reading the papers. Due to their comments and suggestions the presentation of the material has been improved and the quality of the papers has risen. I am extremelythankfultothetechnicalsecretaryofthevolumeDr.AntsKaasik whohasefficientlyorganisedcorrespondencewiththeauthorsandReferees. T˜onu Kollo Tartu, Estonia Editor October 2012 February15,2013 11:7 8705-MultivariateStatistics Tartu_ws-procs9x6 TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk February15,2013 11:7 8705-MultivariateStatistics Tartu_ws-procs9x6 vii ORGANIZING COMMITTEES PROGRAMME COMMITTEE of The 9th Tartu Conference on Multivariate Statistics and The 20th International Workshop on Matrices & Statistics D. von Rosen (Chairman) – Swedish University of Agricultural Sciences, Link¨oping University, Sweden G. P. H. Styan – McGill University, Canada (Honorary Chairman of IWMS) T. Kollo (Vice-Chairman) – University of Tartu, Estonia S. E. Ahmed – University of Windsor, Canada J. J. Hunter – Auckland University of Technology, New Zealand S. Puntanen – University of Tampere, Finland G. Trenkler – Technical University of Dortmund, Germany H. J. Werner – University of Bonn, Germany ORGANIZING COMMITTEE of The 9th Tartu Conference on Multivariate Statistics and The 20th International Workshop on Matrices & Statistics K. P¨arna (Chairman) – University of Tartu, Estonia A. Kaasik (Conference Secretary) – University of Tartu, Estonia February15,2013 11:7 8705-MultivariateStatistics Tartu_ws-procs9x6 TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk February15,2013 11:7 8705-MultivariateStatistics Tartu_ws-procs9x6 ix CONTENTS Preface v Organizing Committees vii Variable Selection and Post-Estimation of Regression Parameters Using Quasi-Likelihood Approach 1 S. Fallahpour and S. E. Ahmed Maximum Likelihood Estimates for Markov-Additive Processes of Arrivals by Aggregated Data 17 A. M. Andronov A Simple and Efficient Method of Estimation of the Parameters of a Bivariate Birnbaum-Saunders Distribution Based on Type-II Censored Samples 34 N. Balakrishnan and X. Zhu Analysis of Contingent Valuation Data with Self-Selected Rounded WTP-Intervals Collected by Two-Steps Sampling Plans 48 Yu. K. Belyaev and B. Kristr¨om Optimal Classification of Multivariate GRF Observations 61 K. Duˇcinskas and L. Dreiˇziene˙ Multivariate Exponential Dispersion Models 73 B. Jørgensen and J. R. Mart´ınez Statistical Inference with the Limited Expected Value Function 99 M. K¨aa¨rik and H. Kadarik

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