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Reduced form regression

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Dear all,

I have the following problem. I am able to estimate the following two stage regression equation:

Yi,T+1 - Yi,T = α + λ (Y*i,T+1 - Yi,T) + εi,T + 1 where Y*i,T+1 = ˆβXi,T

by obtaining Y*i,T+1 first and than solving the first regression equation by inserting Y*i,T+1 into it.

Some researchers however use so called reduced-form model in the following form:

Yi,T+1 = α + λβXi,T + (1 - λ)Yi,T + εi,T + 1

Apart from using two stage model, I would also like to use described one stage model to obtain λ. Could anyone help me how to solve my problem in Stata?

Thank you in advance,
Klemen.

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