Basic ideas underlying conglomerability and disintegrability☆

https://doi.org/10.1016/j.ijar.2017.06.009Get rights and content
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Highlights

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    We discuss the main ideas behind conglomerability and distintegrability.

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    Both the precise and imprecise cases are considered.

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    The link with countable additivity and other mathematical properties are surveyed.

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    Their use as a structural assessment in the imprecise case is commented on.

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    Conglomerability with respect to several partitions is also discussed.

Abstract

The basic mathematical theory underlying the notions of conglomerability and disintegrability is reviewed. Both the precise and the imprecise cases are concerned.

Keywords

Coherence
Conglomerability
Disintegrability
Finitely additive probability
Lower prevision
Natural extension

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☆

This paper is part of the Virtual special issue on Soft methods in probability and statistics, Edited by Barbara Vantaggi, Maria Brigida Ferraro, Paolo Giordani.

© 2017 Elsevier Inc.