Practice mode Statistical Inference

Let X1, X2, …, Xn be a random sample from f(x; θ). If the conditional distribution of X1, …, Xn given S = s does not depend on θ for any value s, the statistic S is called?

Correct answer B. Sufficient statistic

Explanation

This is the definition of a sufficient statistic: once S is known, the sample contains no further information about θ.

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