Consider a two equation model: y₁ = az, + U₁t y₁ =B₁z, +B₂x, +U₂t; t=1,2,..., T where y, and z, are endogenous variables, x, is an exogenous variable, u₁, and u2, are serially uncorrelated disturbances with zero means, variances of and of and covariance ₁2 for all t. Write down the reduced form corresponding to y and z. Suggest a method of estimation of the reduced form parameters, which will give unbiased and consistent estimators.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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1.
(a) Consider a two equation model:
y₁ = αz, + ut
y, B₁2, +B₂x, +U₂t; t=1,2,..., T
where y, and z, are endogenous variables, x, is an exogenous variable,
u₁, and u₂, are serially uncorrelated disturbances with zero means, variances
of and o and covariance ₁2 for all t.
Write down the reduced form corresponding to y and z. Suggest a method of
estimation of the reduced form parameters, which will give unbiased and
consistent estimators.
Transcribed Image Text:1. (a) Consider a two equation model: y₁ = αz, + ut y, B₁2, +B₂x, +U₂t; t=1,2,..., T where y, and z, are endogenous variables, x, is an exogenous variable, u₁, and u₂, are serially uncorrelated disturbances with zero means, variances of and o and covariance ₁2 for all t. Write down the reduced form corresponding to y and z. Suggest a method of estimation of the reduced form parameters, which will give unbiased and consistent estimators.
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