A(n) estimator is one for which the probability that its value is close to the value of the parameter increases as the sample size increases.
A)unbiased
B)consistent
C)biased
D)inconsistent

Question

Quizplus · Accepted Answer

Consistency is the property of an estimator that its value becomes closer to the true parameter value as the sample size increases. This means that as we gather more data, we can be increasingly confident that the estimator provides an accurate estimate of the parameter. Unbiasedness is a desirable property, but it does not necessarily imply consistency. Biased estimators can be consistent if the bias diminishes as the sample size increases. Inconsistent estimators do not provide accurate estimates even as the sample size increases. Therefore, the best choice for the given statement is consistent estimator (B).

A(n) Estimator Is One for Which the Probability That Its