Question

In: Statistics and Probability

If an estimator b is consistent for an unknown parameter β, then plim b = β. Group...

If an estimator b is consistent for an unknown parameter β, then plim b = β.

Group of answer choices

True

False

Expert Solution

Here, we are given that,

If an estimator b is consistent for an unknown parameter β, then

plim b = β.

And we have to tell whether the given statement is:-

True

OR

False

ANSWER :- True

Explanation:- The above result follows from the asymptotic property of Consistency.

It means that, if b is an consistent estimator for the unknown Parameter, , then

It means that, as n tends to infinity, i.e. as the sample size gets larger and larger, the absolute difference between the estimator b and the Parameter tends to 0.

In short, it means that, is the Probability limit of estimator b.

It is written as ,

plim b =

Hence, the given statement is True.

This answers your question.

If you have understood the answer please rate Positively.

orchestra answered 2 years ago

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