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Consider the Model Yi - β1Xi + Ui,where the Xi

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Consider the model Yi - β1Xi + ui,where the Xi and ui the are mutually independent i.i.d.random variables with finite fourth moment and E(ui)= 0.
(a)Let Consider the model Yi - β1Xi + ui,where the Xi and ui the are mutually independent i.i.d.random variables with finite fourth moment and E(ui)= 0. (a)Let   1 denote the OLS estimator of β1.Show that   (   1- β1)=   . (b)What is the mean and the variance of   ? Assuming that the Central Limit Theorem holds,what is its limiting distribution? (c)Deduce the limiting distribution of   (   1 - β1)? State what theorems are necessary for your deduction. 1 denote the OLS estimator of β1.Show that Consider the model Yi - β1Xi + ui,where the Xi and ui the are mutually independent i.i.d.random variables with finite fourth moment and E(ui)= 0. (a)Let   1 denote the OLS estimator of β1.Show that   (   1- β1)=   . (b)What is the mean and the variance of   ? Assuming that the Central Limit Theorem holds,what is its limiting distribution? (c)Deduce the limiting distribution of   (   1 - β1)? State what theorems are necessary for your deduction. ( Consider the model Yi - β1Xi + ui,where the Xi and ui the are mutually independent i.i.d.random variables with finite fourth moment and E(ui)= 0. (a)Let   1 denote the OLS estimator of β1.Show that   (   1- β1)=   . (b)What is the mean and the variance of   ? Assuming that the Central Limit Theorem holds,what is its limiting distribution? (c)Deduce the limiting distribution of   (   1 - β1)? State what theorems are necessary for your deduction. 1- β1)= Consider the model Yi - β1Xi + ui,where the Xi and ui the are mutually independent i.i.d.random variables with finite fourth moment and E(ui)= 0. (a)Let   1 denote the OLS estimator of β1.Show that   (   1- β1)=   . (b)What is the mean and the variance of   ? Assuming that the Central Limit Theorem holds,what is its limiting distribution? (c)Deduce the limiting distribution of   (   1 - β1)? State what theorems are necessary for your deduction. .
(b)What is the mean and the variance of Consider the model Yi - β1Xi + ui,where the Xi and ui the are mutually independent i.i.d.random variables with finite fourth moment and E(ui)= 0. (a)Let   1 denote the OLS estimator of β1.Show that   (   1- β1)=   . (b)What is the mean and the variance of   ? Assuming that the Central Limit Theorem holds,what is its limiting distribution? (c)Deduce the limiting distribution of   (   1 - β1)? State what theorems are necessary for your deduction. ? Assuming that the Central Limit Theorem holds,what is its limiting distribution?
(c)Deduce the limiting distribution of Consider the model Yi - β1Xi + ui,where the Xi and ui the are mutually independent i.i.d.random variables with finite fourth moment and E(ui)= 0. (a)Let   1 denote the OLS estimator of β1.Show that   (   1- β1)=   . (b)What is the mean and the variance of   ? Assuming that the Central Limit Theorem holds,what is its limiting distribution? (c)Deduce the limiting distribution of   (   1 - β1)? State what theorems are necessary for your deduction. ( Consider the model Yi - β1Xi + ui,where the Xi and ui the are mutually independent i.i.d.random variables with finite fourth moment and E(ui)= 0. (a)Let   1 denote the OLS estimator of β1.Show that   (   1- β1)=   . (b)What is the mean and the variance of   ? Assuming that the Central Limit Theorem holds,what is its limiting distribution? (c)Deduce the limiting distribution of   (   1 - β1)? State what theorems are necessary for your deduction. 1 - β1)? State what theorems are necessary for your deduction.

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(a)The OLS estimator in this case is blured image 1 ...

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