Suppose \(Y\) has a linear regression on \(X_{1}, X_{2}\), but observations are only available on \(\left(Y, X_{1}\right)\). If large scale data on \(\left(X_{1}, X_{2}\right)\) are available, which do not include \(Y\), and if the regression of \(X_{2}\), given \(X_{1}\), is nonlinear, then one may
Convergence of identification methods based on the instrumental variable approach
✍ Scribed by T. Söderstöm
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 229 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0005-1098
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✦ Synopsis
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T. SODERSTOMt
Snmmary--A class of identification methods, proposed in [3], am based on the instrumental variable principle. This correspondence contains a continued analysis of convergence of the parameter estimates of these methods. Alternative, sui~cient conditions for convergence to correct values are given. It is also shown by construodon of counter-examples that the methods do not converge under general conditions.
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