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20122022
most citedProbabilistic entailment in the setting of coherence: The role of quasi conjunction and inclusion relation

32 citations · 71 across the 7 of their papers we have counts for

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math.PR20216 cited

Iterated Conditionals and Characterization of P-entailment

Angelo Gilio, Giuseppe Sanfilippo

In this paper we deepen, in the setting of coherence, some results obtained in recent papers on the notion of p-entailment of Adams and its relationship with conjoined and iterated…

math.PR2020

Compound conditionals, Fréchet-Hoeffding bounds, and Frank t-norms

Angelo Gilio, Giuseppe Sanfilippo

In this paper we consider compound conditionals, Fréchet-Hoeffding bounds and the probabilistic interpretation of Frank t-norms. By studying the solvability of suitable linear syst…

math.PR2019

Probabilities of conditionals and previsions of iterated conditionals

Giuseppe Sanfilippo, Angelo Gilio, David Over +1

We analyze selected iterated conditionals in the framework of conditional random quantities. We point out that it is instructive to examine Lewis's triviality result, which shows t…

math.PR2019

Algebraic aspects and coherence conditions for conjoined and disjoined conditionals

Angelo Gilio, Giuseppe Sanfilippo

We deepen the study of conjoined and disjoined conditional events in the setting of coherence. These objects, differently from other approaches, are defined in the framework of con…

math.PR2019

Conjunction of Conditional Events and T-norms

Angelo Gilio, Giuseppe Sanfilippo

We study the relationship between a notion of conjunction among conditional events, introduced in recent papers, and the notion of Frank t-norm. By examining different cases, in th…

math.PR2018

Scoring Alternative Forecast Distributions: Completing the Kullback Distance Complex

Frank Lad, Giuseppe Sanfilippo

We develop two surprising new results regarding the use of proper scoring rules for evaluating the predictive quality of two alternative sequential forecast distributions. Both of…