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Generalized Jeffrey Conditionalization

A Frequentist Semantics of Partial Conditionalization

Автор: Dirk Draheim

Език:

Корици: С меки корици

Издател: Springer International Publishing AG

Наличност: Външен склад в ограничено количество

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59.23 € 115.85 лв

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

Информация за книгата

Автор

Dirk Draheim

Език

Английски език

Корици

Книга - С меки корици

Издадена

2017

страници

106

EAN

9783319698670

ISBN

3319698672

Enbook ID

18185022

Издател

Springer International Publishing AG

Теглоt

1883

Размери

155 x 235 x 7

Пълно описание

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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