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If there is no cross-equation correlation of the error terms in a simultaneous equations system, what...

If there is no cross-equation correlation of the error terms in a simultaneous equations system, what is the best way to estimate the parameters

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If there is no cross-equation correlation of the error terms in a simultaneous equations system then best way to estimate the parameters is Limited information maximum likelihood method.

Because this method each equation in the system is considered separately, and the estimator does not account for any cross-equation error correlation that may exist.

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