Abstract | ||
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Our starting point is a definition of conditional event iE|iH which differs from many seemingly “similar” ones adopted in the relevant literature since 1935, starting with de Finetti. In fact, if we do not assign the same “third” value iu (“undetermined”) to iall conditional events, but make it depend on iE|iH, it turns out that this function it(iE|iH) can be taken as a general conditional uncertainty measure, and we get (through a suitable – in a sense, “compulsory” – choice of the relevant operations among conditional events) the “natural” axioms for many different (besides probability) conditional measures. |
Year | DOI | Venue |
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2001 | 10.1023/A:1016786121626 | Ann. Math. Artif. Intell. |
Keywords | Field | DocType |
uncertainty measures,conditional events,conditioning | Discrete mathematics,Conditional variance,Axiomatic system,Conditional probability distribution,Axiom,Conditioning,Regular conditional probability,Conditional dependence,Mathematics | Journal |
Volume | Issue | ISSN |
32 | 1-4 | 1573-7470 |
Citations | PageRank | References |
34 | 3.15 | 5 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Giulianella Coletti | 1 | 572 | 71.49 |
Romano Scozzafava | 2 | 367 | 48.05 |