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Estimation with overidentifying inequality moment conditions. (English) Zbl 1431.62126

Summary: This paper derives limit distributions of empirical likelihood estimators for models in which inequality moment conditions provide overidentifying information. We show that the use of this information leads to a reduction of the asymptotic mean-squared estimation error and propose asymptotically uniformly valid tests and confidence sets for the parameters of interest. While inequality moment conditions arise in many important economic models, we use a dynamic macroeconomic model as a data generating process and illustrate our methods with instrumental variable estimators of monetary policy rules. The results obtained in this paper extend to conventional GMM estimators.

MSC:

62G05 Nonparametric estimation
62E20 Asymptotic distribution theory in statistics
62P20 Applications of statistics to economics

Software:

Gensys
Full Text: DOI

References:

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