Overview
- Provides a frequentist semantics for conditionalization on partially known events
- Analyzes the resulting partial conditionalization with respect to partitions, segmentation, independence, chaining, and preservation
- Links the Kolmogorov system of probability to one of the important Bayesian frameworks
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Computer Science (BRIEFSCOMPUTER)
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Table of contents (5 chapters)
Keywords
About this book
The postulate of Jeffrey's probability kinematics, which is rooted in the subjectivism of Frank P. Ramsey, is found to be a consequence in our frequentist semantics. This way the book creates a link between the Kolmogorov system of probability and one of the important Bayesian frameworks. Furthermore, it shows a preservation result for conditional probabilities under the full update range and compares F.P. semantics with an operational semantics of classical conditional probability in terms of so-called conditional events. Lastly, it looks at the subjectivist notion of desirabilities and proposes a more fine-grained analysis of desirabilities a posteriori.
This book appeals to researchers who are involved in any kind of knowledge processing systems. F.P. conditionalization is a straightforward, fundamental concept that fits human intuition, and is systematically linked to one of the important Bayesian frameworks. As such, the book is interesting for anybody investigating the semantics of reasoning systems.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Generalized Jeffrey Conditionalization
Book Subtitle: A Frequentist Semantics of Partial Conditionalization
Authors: Dirk Draheim
Series Title: SpringerBriefs in Computer Science
DOI: https://doi.org/10.1007/978-3-319-69868-7
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: The Author(s) 2017
Softcover ISBN: 978-3-319-69867-0Published: 16 November 2017
eBook ISBN: 978-3-319-69868-7Published: 06 November 2017
Series ISSN: 2191-5768
Series E-ISSN: 2191-5776
Edition Number: 1
Number of Pages: X, 106
Topics: Probability and Statistics in Computer Science, Logics and Meanings of Programs, Artificial Intelligence, Operations Research/Decision Theory