Properties of point estimators According to the picture, am I correct? Is consis
ID: 3221503 • Letter: P
Question
Properties of point estimators
According to the picture, am I correct?
Is consistent because the sample mean approach the parameter mean as n increases
Is biased because the estimator mean is not equal to the parameter mean (not sure)
Is relatively efficient estimator because the variance decreases as n increases
Imagine that cap theta is a point estimator of a parameter theta. The following graph shows sampling distributions of cap theta for three different sample sizes: n =5, 10, and 50. Based on the graph, which of the following statements are true? Check all that apply. cap theta is a consistent estimator of theta. cap theta is an unbiased estimator of theta. cap theta is a relatively efficient estimator of theta.Explanation / Answer
Only the first option seems to be correct because:
1. It is a consistent estimator because as the number of points increase, the value seems to converge in probability.
2. It is NOT an unbiased estimator since the expected values do not agree with the point estimate as sample size increases.
3. For concluding anything about "relatively" efficient estimator, another point estimator should have been present.
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