| Blackwell, D., 1953. Equivalent comparisons of experiments. Ann. Math. Stat. 24, 265--272. |
....E (f(X) j T = t) g(t) for all . This means that g is a version of the conditional expectation for each , and we use the notation E(f(X) j T = t) g(t) to denote this particular version of the conditional expectation. This de nition is similar to the general suciency concept of Blackwell [2], and includes the more standard concept where it is assumed in addition that T is a function of X [3, p.19,p.49] 9, p.84 ] If is a measurable function and m is a measure, then the distribution m of is de ned by m (A) m( 2 A) Here we use the notation ( 2 A) fx j (x) 2 Ag, ....
D. Blackwell. Equivalent comparisons of experiments. Ann.Math.Statist., 24:265-272, 1953.
....experiments if it issues a rate ) 1 1 g different than the myopic optimal rate g myopic ( 1 ) if this alters the distribution of beliefs, we say that it increases or reduces information, where more information means more accurate beliefs. 13 4. The value of information. In the spirit of Blackwell (1951, 1953), we say that the second derivative of the second period value function with respect to beliefs, i.e. 2 2 2 2 ln d S d , is the value of information, and that more information is good if the second period value function is convex in beliefs, which comes from the definition of a more ....
....of the second period value function with respect to beliefs, i.e. 2 2 2 2 ln d S d , is the value of information, and that more information is good if the second period value function is convex in beliefs, which comes from the definition of a more informative experiment as we explain next. Blackwell (1951, 1953) defined more informative experiments, and the sufficient conditions for a more informative experiment to be valuable. Intuitively, an experiment z 1 is more informative than an experiment z 2 , if every distribution of beliefs that can be generated from z 2 , can also be generated by z 1 . ....
BLACKWELL, D. (1953), "Equivalent Comparisons of Experiments", Annals of Math Statistics, 24, 265-27.
....to prices formed on the basis of the fine report of April 26, 1982. 3 Two important aspects of this comparison are to be noted. First, the two reports are based on the same underlying information, which is merely reported in different ways. Second, the two reporting systems can be ordered by Blackwell s (1953) Theorem: the system of reporting rating information without class modifiers is, by design, less informative than the reporting system that includes these modifiers. Since no firm level event triggered the refinement of Moody s rating, the announcement causes investors to reassess default risks ....
Blackwell, David, 1953, Equivalent comparisons of experiments, Annals of Mathematical Statistics 24, 265-272.
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Blackwell, D., 1953. Equivalent comparisons of experiments. Ann. Math. Stat. 24, 265--272.
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Blackwell, D., 1953. Equivalent comparisons of experiments. Ann. Math. Stat. 24, 265--272.
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D. Blackwell. Equivalent comparisons of experiments. Annals of Statistics, 24(2):265--272, 1953.
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D. Blackwell. Equivalent comparisons of experiments. Annals of Statistics, 24(2):265--272, 1953.
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Blackwell, D. (1953), `Equivalent comparisons of experiments', Annals of Mathematical Statistics, 24: 265-72.
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Blackwell, D. (1953), `Equivalent comparisons of experiments', Annals of Mathemathical Statistics, 24: 265-72.
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Blackwell, David. (1953), `Equivalent comparisons of experiments', Annals of Mathematical Statistics, 24: 265-72.
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Blackwell, D. (1953), "Equivalent comparisons of experiments", Annals of Mathematical Statistics, 24: 265-72.
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Blackwell, D. (1953), \Equivalent comparisons of experiments", Annals of Mathematical Statistics, 24: 265-72.
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Blackwell, D. (1953), `Equivalent comparisons of experiments', Annals of Mathematical Statistics, 24: 265-72.
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Blackwell, D. (1953), `Equivalent comparisons of experiments', Annals of Mathematical Statistics, 24: 265-72.
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Blackwell, D. (1953). Equivalent comparisons of experiments. Ann. Math. Stat. 24, 265 - 272.
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