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位置2的问题 The variance of the estimator for E[Y]E\left\lbrack Y\right\rbrack at a given point x0x_0 decreases as the sample size increases.The variance of the estimator for E[Y]E\left\lbrack Y\right\rbrack at a given point x0x_0 decreases as the sample size increases.TrueFalse题目解析

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B.False
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思路分析
When evaluating how the variance of an estimator behaves as the sample size grows, we can consider the common case of the sample mean as an estimator of a population mean. Option 1: True. In many standard settings, especially for the estimator of E[Y] at a fixed point (or the mean estimator derived from i.i.d. samples), the variance typically decreases with increasing n, often at a rate proportional to 1/n. This is a consequence of the central limit theorem and basic variance prope......Login to view full explanation

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