By Badi H. Baltagi
A spouse to Theoretical Econometrics offers a complete connection with the fundamentals of econometrics. This better half specializes in the principles of the sector and even as integrates well known issues usually encountered by way of practitioners. The chapters are written through overseas specialists and supply up to date examine in parts no longer often lined through normal econometric texts.
- Focuses at the foundations of econometrics.
- Integrates real-world issues encountered via pros and practitioners.
- Draws on updated examine in parts now not coated by way of general econometrics texts.
- Organized to supply transparent, available info and element to additional readings.
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Additional info for A Companion to Theoretical Econometrics
In general, however, both estimated covariance matrices and test statistics based on the OPG regression are not very reliable in finite samples. In particular, a large number of papers, including Chesher and Spady (1991), Davidson and MacKinnon (1985a, 1992), and Godfrey, McAleer, and McKenzie (1988), have shown that, in finite samples, LM tests based on the OPG regression tend to overreject, often very severely. Despite this drawback, the OPG regression provides a particularly convenient way to obtain various theoretical results.
Either the regressand and regressors can be divided by a suitable consistent estimate of σ, or else all test statistics can be computed as ratios, in F or nR2 form, as appropriate. 35) is provided by the class of regression models, linear or nonlinear, estimated with instrumental variables (IV). 4) related to the sum of squared residuals, but rather Q(β) ≡ 1 2 (y − x(β))ׅPW (y − x(β)), where W is an n × l matrix of instrumental variables. 32), with β instead of θ, and with f(β) = y − x(β). In addition, J(β) = X(β), where X(β) is defined, exactly as for the GNR, to have the tith element ∂xt/∂βi(β).
14) is evaluated at any root-n consistent estimator T, it must tend to the same probability limit as n−1X ׅ0 X0. 15) n →∞ where σ 20 is the true variance of the error terms; see, for example, Davidson and MacKinnon (1993, ch. 5). Thus the GNR would satisfy condition (2) except that there is a factor of σ 20 missing. However, this factor is automatically supplied by the regression package. 16) where L2 = SSR/(n − k) is the estimate of σ 2 from the artificial regression. 16) provides a reasonable way to estimate the covariance matrix of S.
A Companion to Theoretical Econometrics by Badi H. Baltagi