Question: Durbin's two-step method of estimating Write the generalized difference equation (10.14) in a slightly different but equivalent form as follows: Yt = B1(l -

Durbin's two-step method of estimating ρ Write the generalized difference equation (10.14) in a slightly different but equivalent form as follows:
Yt = B1(l - ρ) + B2Xt - ρB2Xt-1 + ρYt-1 + vt
In step 1 Durbin suggests estimating this regression with Y as the dependent variable and Xt, Xt-1, and Yt-1 as explanatory variables. The coefficient of Yt-1 will provide an estimate of ρ. The ρ thus estimated is a consistent estimator; that is, in large samples it provides a good estimate of true ρ.
In step 2 use the p estimated from step 1 to transform the data to estimate the generalized difference equation (10.14).
Apply Durbin's two-step method to the U.S. import expenditure data discussed in Chapter 7 and compare your results with those shown for the original regression.

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t 1178014 02608 X t 0629 X t1 06562 Y t1 t 18796 26219 14210 28096 R 2 09547 ... View full answer

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