Consider the following nonlinear regression model: yt=αx β t +εt Assume i.i.d. data and 𝔼[εt|xt]=0. To estimate α and β by GMM, we chose among the following moment conditions: 𝔼[yt−αx β t ]=0 𝔼[(yt−αx β t )xt]=0 𝔼[(yt−αx β t ) 1 xt ]=0 Choose the most appropriate answer below: Single choice

A

Only the first and third equations are valid moment conditions to estimate α and β by GMM.

B

Only the second and third equations are valid moment conditions to estimate α and β by GMM.

C

All equations are valid moment conditions to estimate α and β by GMM.

D

Only the first and second equations are valid moment conditions to estimate α and β by GMM.

E

None of the equations above are valid moment conditions to estimate α and β by GMM.

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Consider the following nonlinear regression model: yt=αx β t +εt Assume i.i.d. data and 𝔼[εt|xt]=0. To estimate α and β by GMM, we use the following moment conditions: 𝔼[yt−αx β t ]=0 𝔼[(yt−αx β t )xt]=0 To compute the variance of the estimates, we need to estimate the matrices Γ0 and Φ0.

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