Blackwell's informativeness theorem, in information theory and decision theory, establishes an equivalence between three distinct ways of ranking statistical information structures, or experiments: one based on the expected utility a decision maker can achieve using the information, one based on a direct notion of informativeness, and one based on the feasibility of deriving one experiment from another by adding noise. The equivalence defines what is known as the Blackwell order over information structures, named for the statistician David Blackwell.
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Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
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Source Blackwell's informativeness theorem - Wikipedia
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Source Blackwell's informativeness theorem - Wikipedia
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1. Blackwell's informativeness theorem - Wikipedia
References section
Blackwell, David (1953). "Equivalent comparison of experiments". The Annals of Mathematical Statistics.
In Branch: Information Theory, Lead sentence
In the mathematical subjects of information theory and decision theory, Blackwell's informativeness theorem is an important result
Proved By: David Blackwell, Lead paragraph
In the mathematical subjects of information theory and decision theory, Blackwell's informativeness theorem is an important result related to the ranking of information structures, or experiments. It states
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