Bayesians Versus Frequentists A Philosophical Debate on Statistical
This book analyzes the origins of statistical thinking as well as its related philosophical questions, such as causality, determinism or chance. Bayesian and frequentist approaches are subjected to a historical, cognitive and epistemological analysis, mak
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Jordi Vallverdú
Bayesians Versus Frequentists A Philosophical Debate on Statistical Reasoning 123
SpringerBriefs in Statistics
More information about this series at http://www.springer.com/series/8921
Jordi Vallverdú
Bayesians Versus Frequentists A Philosophical Debate on Statistical Reasoning
123
Jordi Vallverdú Faculty of Philosophy and Arts Universitat Autònoma de Barcelona Bellaterra (Cerdanyola del Vallès) Spain
ISSN 2191-544X SpringerBriefs in Statistics ISBN 978-3-662-48636-8 DOI 10.1007/978-3-662-48638-2
ISSN 2191-5458
(electronic)
ISBN 978-3-662-48638-2
(eBook)
Library of Congress Control Number: 2015954586 Mathematics Subject Classification (2010): 00A30, 01Axx, 62-03 Springer Heidelberg New York Dordrecht London © The Author(s) 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 Springer-Verlag GmbH Berlin Heidelberg is part of Springer Science+Business Media (www.springer.com)
To my amazing son Cai, I love you with all my heart and mind with no chance of any other true feeling towards you.
Preface
Despite possible misunderstanding which I assure readers I have not created, the reader might think, from its title that this book is a piece of research about the Philosophy of Statistics, a new brick into the great “Chinese wall” of the unending philosophical debates about statistics. But this is not the case. Taking into account that today philosophers still do not agree on the basic notions of “mind,” “cause,” “evidence,” “experience,” or “truth,” it would be a waste of time to devote our interests to the fuzzy and even impolite debates about what things are. Nevertheless, we need to talk, solve, and think about several domains that affect our lives. For example, why do things happen? Our minds are just used to accepting any possible result: Our brains predict possible outcomes of several sensorimotor actions at the same time our minds are trying to discover some kind of order in our world (internal, external, cultural,
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