ON THE CONSTRUCTION OF BOUNDS CONFIDENCE REGIONS

Gordon C.R. Kemp

Econometric Theory, 2003, vol. 19, issue 04, pages 610-619

Abstract: We modify the procedure for constructing exact bounds confidence regions introduced by Dufour (1990, Econometrica 58, 475 494) so as to drop the requirement that the confidence regions for the nuisance parameters are marginal with respect to the parameters of interest, i.e., that they are the same for all values of the parameters of interest. We illustrate this modified procedure with an application to a dependent variable heteroskedasticity model and, using a Monte Carlo study, compare the confidence regions constructed by this procedure with asymptotically justified regions.I thank the editor and three referees for useful comments. As always, I retain responsibility for any remaining errors.

Date: 2003

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