NO.PZ2024120401000009
问题如下:
An experiment yields the following data:
It is hypothesized that the data come from a uniform distribution, U(0, b). What are the unbiased estimators of the mean and variance?
选项:
A.0.39 0.08
B.0.45 0.086
C.0.39 0.086
D.0.45 0.086
解释:
The sample mean is already unbiased:
For the variance:
这题用计算器算了一下,感觉想到个很奇怪的方式不知道对不对。用计算器可以计算出样本标准差和总体标准差。题目要求解总体方差的无偏估计,其实就是在求样本方差。所以直接用计算器的样本方差结果平方就可以了。这么理解对吗。