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单词 risk function
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risk function
risk function n. Statistics a function expressing risk; spec. (in decision theory) a function expressing the uncertainties associated with the expected losses resulting from the possible outcomes of a decision.
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1914 E. L. Dodd Bull. Univ. Texas No. 323. 6 In dealing with error-risk—‘Fehlerrisiko’—Czuber introduces a risk-function with the following characteristics: v(−x) = v(x); and v(x′) > v(x) if |x′| > |x|.
1939 A. Wald in Ann. Math. Statistics 10 304 Since we do not know the true parameter point θ, we shall have to study the risk r(θ) as a function of θ. We shall call this function the risk function.
1977 Sci. Amer. (U.K. ed.) May 122/1 These estimates were compared through a risk function, defined as the expected value of the squared error for every possible value of θ.
2003 Oxf. Dict. Statist. Terms 353 Where a number of possible decisions have a loss function attached, the risk function R(θ, d) is the expected cost of the experimentation plus the expected value of the loss function for the state of nature θ and the decision function d.
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