Practice mode Statistical Inference

If, for every value s, the conditional distribution of X1, X2, …, Xn given S = s does not depend on θ, the statistic S = s(X1, …, Xn) is called?

Correct answer D. Sufficient

Explanation

A statistic is sufficient when the sample's conditional distribution given it is free of θ, so it captures all information about the parameter.

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