Optimized Response-Adaptive Clinical Trials Sequential Treatment All
Two-armed response-adaptive clinical trials are modelled as Markov decision problems to pursue two overriding objectives: Firstly, to identify the superior treatment at the end of the trial and, secondly, to keep the number of patients receiving the infer
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Springer awards „BestMasters“ to the best master’s theses which have been completed at renowned universities in Germany, Austria, and Switzerland. The studies received highest marks and were recommended for publication by supervisors. They address current issues from various fields of research in natural sciences, psychology, technology, and economics. The series addresses practitioners as well as scientists and, in particular, offers guidance for early stage researchers.
Thomas Ondra
Optimized ResponseAdaptive Clinical Trials Sequential Treatment Allocation Based on Markov Decision Problems
Thomas Ondra Vienna, Austria
BestMasters ISBN 978-3-658-08343-4 ISBN 978-3-658-08344-1 (eBook) DOI 10.1007/978-3-658-08344-1 Library of Congress Control Number: 2014957153 Springer Spektrum © Springer Fachmedien Wiesbaden 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, speci¿cally the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on micro¿lms 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 speci¿c 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 Springer Spektrum is a brand of Springer Fachmedien Wiesbaden Springer Fachmedien Wiesbaden is part of Springer Science+Business Media (www.springer.com)
Danksagung An dieser Stelle m¨ ochte ich mich bei all jenen bedanken, die mich bei der Fertigstellung meiner Masterarbeit unterst¨ utzt haben. Mein Dank gilt vor allem meinem Betreuer Prof. Hermann Schichl, welcher durch seine hervorragenden Vorlesungen mein Interesse an angewandter Mathematik geweckt hat. Prof. Hermann Schichl und Prof. Arnold Neumaier hatten, insbesondere im Rahmen ihres Seminares, jederzeit ein offenes Ohr, um etwaige Probleme zu besprechen. Weiters m¨ochte ich mich einerseits f¨ ur die spannende Themenstellung und andererseits f¨ ur die Freiheit, diese zu bearbeiten, bedanken. Mein besonderer Dank gilt auch meinen Eltern Andrea und Rudolf Ondra, die mir mein Studium erst erm¨ oglicht haben und mich jederzeit in all meinen Entscheidungen unterst¨ utzt haben. Besonders m¨ochte ich Prof. Martin Posch, Leiter des Institutes f¨ ur Medizinische Statistik an der Medizinischen Universit¨at Wien, danken, welcher mich auf di
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