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Graphoid properties of concepts of independence for sets of probabilities

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Autor(es):
Cozman, Fabio Gagliardi [1]
Número total de Autores: 1
Afiliação do(s) autor(es):
[1] Univ Sao Paulo, Escola Politecn, Sao Paulo - Brazil
Número total de Afiliações: 1
Tipo de documento: Artigo Científico
Fonte: INTERNATIONAL JOURNAL OF APPROXIMATE REASONING; v. 131, p. 56-79, APR 2021.
Citações Web of Science: 0
Resumo

We examine several concepts of independence associated with (1) credal sets, understood as sets of probability measures, (2) sets of full conditional probabilities, (3) sets of lexicographic probabilities, and (4) sets of desirable gambles. Concepts of independence are evaluated with respect to the graphoid properties they satisfy, as these properties capture important abstract features of ``independence{''}. We emphasize the analysis of sets of probability measures as this is a popular formalism, looking at versions of epistemic, confirmational, and type-5 independence that are based on regular conditioning, as well as complete and strong independence. We then examine analogous concepts of independence for sets of full conditional probabilities, sets of lexicographic probabilities, and sets of desirable gambles. (C) 2020 Elsevier Inc. All rights reserved. (AU)

Processo FAPESP: 19/07665-4 - Centro de Inteligência Artificial
Beneficiário:Fabio Gagliardi Cozman
Modalidade de apoio: Auxílio à Pesquisa - Programa eScience e Data Science - Centros de Pesquisa em Engenharia