You have the point estimate b 0.45 and standard error s b 0.28. You

Question:

You have the point estimate bµ Æ 0.45 and standard error s

¡bµ

Æ 0.28. You are interested in

¯ Æ exp(µ).

(a) Find b¯.

(b) Use the Delta method to find a standard error s

¡ b¯

(c) Use the above to calculate a 95% asymptotic confidence interval for ¯.

(d) Calculate a 95% asymptotic confidence interval [L,U] for the orginal parameter µ. Calculate a 95%

asymptotic confidence interval for ¯ as [exp(L),exp(U)]. Can you explainwhy this is a valid choice?

Compare this interval with your answer in (c).

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Probability And Statistics For Economists

ISBN: 9780691235943

1st Edition

Authors: Bruce Hansen

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Question Posted: Sep 23, 2024 07:01 AM

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You have the point estimate b 0.45 and standard error s b 0.28. You

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Probability And Statistics For Economists

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