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학술대회자료

Instrumental Variable Estimation of Structural Equation Under Covariance Restriction: A Partial Reduced Form Approach

Instrumental Variable Estimation of Structural Equation Under Covariance Restriction: A Partial Reduced Form Approach

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We consider an estimation of structural equation under covariance restriction when the exclusion restrictions and exogeneity of variable are not plausible. The residual as instrument is exploited for the consistent estimation without identification of the other structural equations, if there is an exogenous variable which just appears in the estimated equation. The efficient instrumental variable estimator minimizing the asymptotic variance is derived which is asymptotically equivalent with the FIML estimator under the normality and exact identification. We suggest a Wald test for the inference. Substantial simulation works confirmed our theoretical expectations.

1 Introduction

2 The Identification Assumption

3 Efficient IV Estimation

4 The Efficiency of IV Estimator

5 Inference and Specification Test

6 Monte Carlo Experiments

7 Conclusion

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