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- W2104465152 abstract "This paper analyses the properties of standard estimators, tests, and con dence sets (CSs) in a class of models in which the parameters are unidenti ed or weakly identi ed in some parts of the parameter space. The paper also introduces a method to make the tests and CSs robust to such identi cation problems. The results apply to a class of extremum estimators and corresponding tests and CSs, including maximum likelihood (ML), least squares (LS), quantile, generalized method of moments (GMM), generalized empirical likelihood (GEL), and minimum distance (MD) estimators. The consistency/lack-of-consistency and asymptotic distributions of the estimators are established under a full range of drifting sequences of true distributions. The asymptotic size (in a uniform sense) of standard tests and CSs is established. The results are applied to the LS estimator of a nonlinear regression model, a LS estimator of a smooth transition threshold autoregressive model, the instrumental variables estimator of a nonlinear regression model with endogeneity, the ML estimator of an ARMA (1, 1) model, and some other examples. [Not all of the examples are complete yet.] Keywords: Asymptotic size, con dence set, estimator, identi cation, nonlinear models, test, weak identi cation. JEL Classi cation Numbers: C12, C15." @default.
- W2104465152 created "2016-06-24" @default.
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- W2104465152 date "2010-01-01" @default.
- W2104465152 modified "2023-10-17" @default.
- W2104465152 title "Estimation and Inference with Weak Identi…cation" @default.
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