Search results for "strong dominance"

showing 2 items of 2 documents

Coherent conditional probabilities and proper scoring rules

2011

In this paper we study the relationship between the notion of coherence for conditional probability assessments on a family of conditional events and the notion of admissibility with respect to scoring rules. By extending a recent result given in literature for unconditional events, we prove, for any given strictly proper scoring rule s, the equivalence between the coherence of a conditional probability assessment and its admissibility with respect to s. In this paper we focus our analysis on the case of continuous bounded scoring rules. In this context a key role is also played by Bregman divergence and by a related theoretical aspect. Finally, we briefly illustrate a possible way of defin…

total coherenceSettore MAT/06 - Probabilita' E Statistica Matematicabregman divergencestrong dominanceconditional scoring rulesConditional probability assessments coherence penalty criterion proper scoring rules conditional scoring rules weak dominance strong dominance admissibility Bregman divergence g-coherence total coherence imprecise probability assessments.weak dominancestrong dominance; conditional probability assessments; imprecise probability assessments; gcoherence; proper scoring rules; bregman divergence; weak dominance; coherence; imprecise probability assessments.; admissibility; g-coherence; penalty criterion; conditional scoring rules; total coherencepenalty criteriongcoherenceproper scoring rulescoherenceconditional probability assessmentsg-coherenceimprecise probability assessmentsadmissibility
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Coherent Conditional Previsions and Proper Scoring Rules

2012

In this paper we study the relationship between the notion of coherence for conditional prevision assessments on a family of finite conditional random quantities and the notion of admissibility with respect to bounded strictly proper scoring rules. Our work extends recent results given by the last two authors of this paper on the equivalence between coherence and admissibility for conditional probability assessments. In order to prove that admissibility implies coherence a key role is played by the notion of Bregman divergence.

Settore MAT/06 - Probabilita' E Statistica Matematicabregman divergenceproper scor- ing rulesConditional prevision assessmentsconditional scoring rulesstrong dominanceConditional probabilityweak dominanceCoherence (statistics)Bregman divergenceConditional prevision assessments coherence proper scoring rules conditional scoring rules weak dominance strong dominance admissibility Bregman divergence.proper scoring rulescoherenceBounded functionKey (cryptography)admissibilityConditional prevision assessments; conditional scoring rules; admissibility; proper scor- ing rules; weak dominance; strong dominanceEquivalence (measure theory)Mathematical economicsconditional prevision assessments; strong dominance; admissibility; proper scoring rules; bregman divergence; weak dominance; conditional scoring rules; coherenceMathematics
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