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Generalized Jeffrey Conditionalization

A Frequentist Semantics of Partial Conditionalization

Autor: Dirk Draheim

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Legare: Carte broșată

Editura: Springer International Publishing AG

Disponibilitate: În depozitul extern în cantități mici

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This book provides a frequentist semantics for conditionalization on partially known events, which i...

Informații despre carte

Autor

Dirk Draheim

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2017

Pagini

106

EAN

9783319698670

ISBN

3319698672

Enbook ID

18185022

Editura

Springer International Publishing AG

Greutate

1883

Dimensiuni

155 x 235 x 7

Descriere completă

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 conditionalization, called frequentist partial (F.P.) conditionalization, from different angles, i.e., with respect to partitions, segmentation, independence, and chaining. It turns out that F.P. conditionalization meets and generalizes Jeffrey conditionalization, i.e., from partitions to arbitrary collections of events, opening it for reassessment and a range of potential applications. A counterpart of Jeffrey's rule for the case of independence holds in our frequentist semantics. This result is compared to Jeffrey's commutative chaining of independent updates. 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.

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Generalized Jeffrey Conditionalization

A Frequentist Semantics of Partial Conditionalization

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Descriere completă

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