On the Maximum and Minimum of a Stationary Random Field
We determine the class of nondegenerate joint-limiting distributions for the maximum and minimum of stationary random fields \(\mathbf{X} = \left \{X_{\mathbf{n}}\right \}_{\mathbf{n\in {\mathbb{N}}^{2}}}\) satisfying a long-range dependence restriction f
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João Lita da Silva · Frederico Caeiro Isabel Natário · Carlos A. Braumann Manuel L. Esquível João Tiago Mexia Editors
Advances in Regression, Survival Analysis, Extreme Values, Markov Processes and Other Statistical Applications
Studies in Theoretical and Applied Statistics Selected Papers of the Statistical Societies
For further volumes: http://www.springer.com/series/10104
Series Editors Spanish Society of Statistics and Operations Research (SEIO) Soci´et´e Franc¸aise de Statistique (SFdS) Societ`a Italiana di Statistica (SIS) Sociedade Portuguesa de Estat´ıstica (SPE)
Jo˜ao Lita da Silva • Frederico Caeiro • Isabel Nat´ario • Carlos A. Braumann Editors
Manuel L. Esqu´ıvel • Jo˜ao Tiago Mexia Associate Editors
Advances in Regression, Survival Analysis, Extreme Values, Markov Processes and Other Statistical Applications
123
Editors Jo˜ao Lita da Silva Frederico Caeiro CMA and Faculdade de Ciˆencias e Tecnologia Universidade Nova de Lisboa 2829-516 Caparica Portugal
Isabel Nat´ario CEAUL and Faculdade de Ciˆencias e Tecnologia Universidade Nova de Lisboa 2829-516 Caparica Portugal
Carlos A. Braumann Centro de Investigac¸a˜ o em Matem´atica e Aplicac¸o˜ es ´ Universidade de Evora ´ 7000-803 Evora Portugal Associate Editors Manuel L. Esqu´ıvel Jo˜ao Tiago Mexia CMA and Faculdade de Ciˆencias e Tecnologia Universidade Nova de Lisboa 2829-516 Caparica Portugal ISSN 2194-7767 ISSN 2194-7775 (electronic) ISBN 978-3-642-34903-4 ISBN 978-3-642-34904-1 (eBook) DOI 10.1007/978-3-642-34904-1 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2013936102 © Springer-Verlag Berlin Heidelberg 2013 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and informa
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