Questions from Econometrics


Q: Suppose that y has the pdf / And /

Suppose that y has the pdf And For this model, prove that GLS and MLE are the same, even though this distribution involves the same parameters in the conditional mean function and the disturbance var...

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Q: Suppose that the regression model is y =  + , where

Suppose that the regression model is y =  + , where has a zero mean, constant variance, and equal correlation, , across observations. Then if i &ac...

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Q: Suppose that the regression model is yi =  + i

Suppose that the regression model is yi =  + i, where a. Given a sample of observations on yi and xi, what is the most efficient estimator of m? What is its variance?...

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Q: A sample of 100 observations produces the following sample data:

A sample of 100 observations produces the following sample data: The underlying seemingly unrelated regressions model is a. Compute the OLS estimate of , and estimate the sampling var...

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Q: The following model is specified: / All variables are

The following model is specified: All variables are measured as deviations from their means. The sample of 25 observations produces the following matrix of sums of squares and cross products: a. Est...

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Q: For the model / show that there are two

For the model show that there are two restrictions on the reduced form coefficients. Describe a procedure for estimating the model while incorporating the restrictions.

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Q: Prove that /

Prove that

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Q: Prove that an under identified equation cannot be estimated by 2SLS.

Prove that an under identified equation cannot be estimated by 2SLS.

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Q: Prove the general result in point 2 in Section 10.2

Prove the general result in point 2 in Section 10.2.2, if the X matrices in (10-1) are identical, then full GLS is equation-by-equation OLS. Hints: If all the Xm matrices are identical, then the inver...

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Q: Consider estimation of the following two-equation model: /

Consider estimation of the following two-equation model: A sample of 50 observations produces the following moment matrix: a. Write the explicit formula for the GLS estimator of [1...

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