If the conditional distribution of X1,X2,.....Xn given S=s, does not depends on θ, for any value of S=s the statistics S=s(X1,X2,.....Xn) is called______________?
Correct answer: B. Sufficient
- A. Unbiased
- B. Sufficient
- C. Consistent
- D. Efficient
Explanation
By the conditional-distribution characterization of sufficiency, S is sufficient for θ when the distribution of the sample given S=s does not depend on θ. The other properties concern bias, convergence, or variance efficiency.
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