Explain how to use the sampling distributions of A and B to decide which is the best estimator of alpha.

Explain how to use the sampling distributions of A and B to decide which is the best estimator of alpha.

Question
Sampling distributions
asked 2020-11-11
Explain how to use the sampling distributions of A and B to decide which is the best estimator of \(\alpha\).

Answers (1)

2020-11-12
It is given that the sample statistic B is an unbiased estimator of the population parameter \(\alpha\).
Here, A and B are unbiased estimators of \(\alpha\). The standard deviations of A and B should be compared for deciding the best estimator of \(\alpha\). The best estimator of \(\alpha\) is the statistic that has the smaller standard deviation.
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