Nonconglomerative coherent conditional probabilities in statistical inference |
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Authors: | Giulianella Coletti Romano Scozzafava |
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Affiliation: | (1) Dipartimento Matematica e Informatica, University of Perugia, Perugia, Italy;(2) Dipartimento Metodi e Modelli Matematici, University of “La Sapienza”, Roma, Italy |
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Abstract: | Noteworthy connections among conglomerability, countable additivity and coherence are discussed in detail, reaching the conclusion that nonconglomerable conditional probabilities must not be doomed and play a significant role in statistical inference. Extended and updated version of a contributed paper presented at the International Conference on “Information Processing and Management of Uncertainty in knowledge-based systems”, IPMU 2004, Perugia, Italy. |
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Keywords: | Coherent conditional probabilities Conglomerability Stochastic independence |
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