From imprecise probability assessments to conditional probabilities with quasi additive classes of conditioning events (bibtex)

by Giuseppe Sanfilippo

Abstract:

In this paper, starting from a generalized coherent (i.e. avoiding uniform loss) interval-valued probability assessment on a finite family of conditional events, we construct conditional probabilities with quasi additive classes of conditioning events which are consistent with the given initial assessment. Quasi additivity assures coherence for the obtained conditional probabilities. In order to reach our goal we define a finite sequence of conditional probabilities by exploiting some theoretical results on g-coherence. In particular, we use solutions of a finite sequence of linear systems.

Reference:

Giuseppe Sanfilippo, "From imprecise probability assessments to conditional probabilities with quasi additive classes of conditioning events", In Proceedings of the Twenty-Eighth Conference on Uncertainty in Artificial Intelligence, UAI-2012, Catalina Island, United States, August 15--17, pp. 736-745, 2012.

Bibtex Entry:

@INPROCEEDINGS{2012:2UAI, author = {Giuseppe Sanfilippo}, title = {From imprecise probability assessments to conditional probabilities with quasi additive classes of conditioning events}, booktitle = {Proceedings of the Twenty-Eighth Conference on Uncertainty in Artificial Intelligence, UAI-2012, Catalina Island, United States, August 15--17}, year = {2012}, pages = {736--745}, note = {ISBN 978-0-9749039-8-9}, abstract = {In this paper, starting from a generalized coherent (i.e. avoiding uniform loss) interval-valued probability assessment on a finite family of conditional events, we construct conditional probabilities with quasi additive classes of conditioning events which are consistent with the given initial assessment. Quasi additivity assures coherence for the obtained conditional probabilities. In order to reach our goal we define a finite sequence of conditional probabilities by exploiting some theoretical results on g-coherence. In particular, we use solutions of a finite sequence of linear systems.}, url = {http://www.auai.org/uai2012/papers/173.pdf}, scopus = {{2-s2.0-84875211803}}, }

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