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If an estimator is consistent, an increa...

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题目

If an estimator is consistent, an increase in sample size will increase the:

选项

A.accuracy of estimates.

B.efficiency of the estimator.

C.unbiasedness of the estimator.

答案

A

解析

: A is correct. A consistent estimator is one for which the probability of estimates close to the value of the population parameter increases as sample size increases. More specifically, a consistent estimator’s sampling distribution becomes concentrated on the value of the parameter it is intended to estimate as the sample size approaches infinity. : A正确。 一致估计量是指估计值接近总体参数值的概率随样本量的增大而增大的估计值。更具体地说,当样本容量趋近于无穷时,一致估计量的抽样分布将集中于它要估计的参数的值。