Without a clear, precise and rigorous mathematical frame, is the likelihood "per se" a proper tool to deal with statistical inference and to manage partial and vague information? Since (as Basu puts it) "the likelihood function is after all a bunch of conditional probabilities", a proper discussion of the various extensions of a likelihood from a point function to a set function is carried out by looking at a conditional probability as a general non-additive "uncertainty" measure P(E| • ) on the set of conditioning events. © 2009 Springer Berlin Heidelberg.
Integrated likelihood in a finitely additive setting / Giulianella, Coletti; Scozzafava, Romano; Vantaggi, Barbara. - STAMPA. - 5590 LNAI(2009), pp. 554-565. ((Intervento presentato al convegno 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, ECSQARU 2009 tenutosi a Verona nel 1 July 2009 through 3 July 2009. - LECTURE NOTES IN COMPUTER SCIENCE. [10.1007/978-3-642-02906-6_48].
Integrated likelihood in a finitely additive setting
SCOZZAFAVA, Romano;VANTAGGI, Barbara
2009
Abstract
Without a clear, precise and rigorous mathematical frame, is the likelihood "per se" a proper tool to deal with statistical inference and to manage partial and vague information? Since (as Basu puts it) "the likelihood function is after all a bunch of conditional probabilities", a proper discussion of the various extensions of a likelihood from a point function to a set function is carried out by looking at a conditional probability as a general non-additive "uncertainty" measure P(E| • ) on the set of conditioning events. © 2009 Springer Berlin Heidelberg.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
