Statistical Decision Functions¶
Wald, A. (1950). Statistical Decision Functions. Wiley.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Statistical Inference
- It separates what we see (the sample) from what we want to know (the population), and names the probabilistic reasoning that bridges them, a formalization Wald (1950) embedded in a unifying decision-theoretic framework.
SupportedVerified against the work's full text
Wald builds a general statistical decision theory in which hypothesis testing, point estimation and interval estimation are special cases, with observations drawn from an unknown distribution in a given class.
“By a hypothesis we mean a statement that the unknown distribution F of X is an element of a given subset w of 2. For any non-empty subset w of 2, we shall use the symbol H,, to denote the hypothesis that Few. The problem of testing a hypothesis H is a special case of the general decision problem.”
- It separates what we see (the sample) from what we want to know (the population), and names the probabilistic reasoning that bridges them, a formalization Wald (1950) embedded in a unifying decision-theoretic framework.
Domain-specific¶
Mechanisms¶
- Minimax Decision Rule
- … is decisiveness where the downside is the only thing that matters: when a single bad outcome is survival-threatening and probabilities are untrustworthy, choosing the option with the least severe worst case is the disciplined move — the minimax logic drawn from game theory's treatment of a hostile, indifferent world.
This sourceDefines the minimax rule as selecting a decision function that minimizes maximum risk, with a game-theoretic adverse-Nature interpretation.
- … is decisiveness where the downside is the only thing that matters: when a single bad outcome is survival-threatening and probabilities are untrustworthy, choosing the option with the least severe worst case is the disciplined move — the minimax logic drawn from game theory's treatment of a hostile, indifferent world.
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