Generalized Jeffrey Conditionalization A Frequentist Semantics of Pa
This book provides a frequentist semantics for conditionalization on partially known events, which is given as a straightforward generalization of classical conditional probability via so-called probability testbeds. It analyzes the resulting partial cond
- PDF / 1,531,473 Bytes
- 108 Pages / 439.37 x 666.142 pts Page_size
- 69 Downloads / 176 Views
Dirk Draheim
Generalized Jeffrey Conditionalization A Frequentist Semantics of Partial Conditionalization 123
SpringerBriefs in Computer Science
More information about this series at http://www.springer.com/series/10028
Dirk Draheim
Generalized Jeffrey Conditionalization A Frequentist Semantics of Partial Conditionalization
123
Dirk Draheim Large-Scale Systems Group Tallinn University of Technology Tallinn Estonia
ISSN 2191-5768 ISSN 2191-5776 (electronic) SpringerBriefs in Computer Science ISBN 978-3-319-69867-0 ISBN 978-3-319-69868-7 (eBook) https://doi.org/10.1007/978-3-319-69868-7 Library of Congress Control Number: 2017956747 © The Author(s) 2017 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Statistics is the language of science; however, the semantics of probabilistic reasoning is still a matter of discourse. In this book, I provide a frequentist semantics for conditionalization on partially known events. The resulting frequentist partial (F.P.) conditionalization generalizes Jeffrey conditionalization from partitions to arbitrary collections of events. Furthermore, the postulate of Jeffrey’s probability kinematics, which is rooted in Ramsey’s subjectivism, turns out to be a consequence in our frequentist semantics. I think the book appeals to researchers that are involved in any kind of knowledge processing systems. F.P. conditionalization is a straightforward, fundamental concept that fits our intuition. Furthermore, it creates a clear link from the Kolmogorov system of probability to one of the important Bayesian frameworks. This way, I think it is interesting for anybody who investigates semantics of reasoning sys
Data Loading...
