{"paper":{"title":"Expertises : proc\\'{e}dures statistiques d'aide \\`{a} la d\\'{e}cision","arxiv_id":"math/0602611","primary_cat":"math.ST","submitted_at":"2006-02-27T09:53:25+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":1.0,"id":"s0","own":true,"role":"contribution","text":"In this study, we introduce a new approach to statistical decision theory.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.9,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":1.0,"interpretation":0.0}},{"i":1,"p":0.64,"id":"s1","own":true,"role":"method","text":"Without using a loss function, we select good decision rules to choice between two hypotheses. We call them \"experts\".","hedge":{"p":1.0,"label":"asserted"},"own_p":0.92,"main_claim_p":0.15,"quantitative":false,"quantitative_p":0.09,"role_probabilities":{"gap":0.0,"method":0.64,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.36,"interpretation":0.0}},{"i":2,"p":0.71,"id":"s2","own":true,"role":"result","text":"They are globally unbiased but also conditionally unbiased on a family of events.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.79,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.1,"result":0.71,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.18,"interpretation":0.01}},{"i":3,"p":0.66,"id":"s3","own":true,"role":"limitation","text":"We do not try to define the best expert.","hedge":{"p":0.95,"label":"asserted"},"own_p":0.87,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.21,"result":0.0,"background":0.0,"limitation":0.66,"future_work":0.0,"contribution":0.12,"interpretation":0.01}},{"i":4,"p":0.82,"id":"s4","own":true,"role":"method","text":"We define a probability distribution on the space of \"experts\".","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.82,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.18,"interpretation":0.0}},{"i":5,"p":0.79,"id":"s5","own":true,"role":"method","text":"The measure of evidence for a hypothesis is the inductive probability of experts that decide this hypothesis, we call this measure: a \"vote\".","hedge":{"p":1.0,"label":"asserted"},"own_p":0.88,"main_claim_p":0.2,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.79,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.21,"interpretation":0.0}},{"i":6,"p":0.47,"id":"s6","own":true,"role":"contribution","text":"We compare this point of view with the p-values.","hedge":{"p":0.68,"label":"asserted"},"own_p":0.75,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.47,"role_probabilities":{"gap":0.0,"method":0.43,"result":0.05,"background":0.02,"limitation":0.0,"future_work":0.0,"contribution":0.47,"interpretation":0.03}},{"i":7,"p":0.87,"id":"s7","own":true,"role":"result","text":"For some family of hypotheses, the \"votes\" can define a probability on the space of 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