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act f analysis apply basic acts behavior behavioralistic Bernoulli bilinear games called chapter concept condition conditional probability conﬁned consequences considered context convex convex set Criterion decision problem deﬁned deﬁnition derived act discussion dominates elements equal equivalent example Exercise expected value f 5 g f and g ﬁnd Finetti ﬁnite number ﬁnite set ﬁrst ﬁve ﬁxed formal g given Gamble hypothesis idea implies income inﬁnite interpretation interval estimation justiﬁed least likelihood ratio likelihood-ratio test linear logic loss function lottery max L(f maximin minimax rule minimax theory mixed acts n-tuples notion null objectivistic objectivistic decision problem objectivistic views observation particular partition problems personal probability personalistic view possible postulate preference probability measure qualitative probability random variables real numbers satisﬁes seems sequence situation small world sufﬁcient sufficient statistics suﬁicient Suppose sure-thing principle symmetry testing Theorem tion typically utility verbalistic veriﬁed Wald
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