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Essays on weak identification and co...
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Cheng, Xu.
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Essays on weak identification and cointegrating rank selection.
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Essays on weak identification and cointegrating rank selection./
Author:
Cheng, Xu.
Description:
294 p.
Notes:
Source: Dissertation Abstracts International, Volume: 71-07, Section: A, page: 2557.
Contained By:
Dissertation Abstracts International71-07A.
Subject:
Economics, General. -
Online resource:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3415014
ISBN:
9781124089232
Essays on weak identification and cointegrating rank selection.
Cheng, Xu.
Essays on weak identification and cointegrating rank selection.
- 294 p.
Source: Dissertation Abstracts International, Volume: 71-07, Section: A, page: 2557.
Thesis (Ph.D.)--Yale University, 2010.
The first two chapters of my dissertation analyze estimation and inference with weak identification. The first chapter studies the least squares (LS) estimator of a nonlinear regression model. This chapter develops a local limit theory that provides a uniform approximation to the finite-sample distribution irrespective of the strength of identification, shows that standard confidence intervals (CIs) and subsampling CIs are prone to size distortion, and develops a new confidence interval (CI) that has good finite-sample coverage probability. This chapter also develops a sequential procedure to deal with multiple nonlinear regressors with different identification strength. It is shown that weak identification on any nonlinear regressor will lead to poor finite-sample approximation by standard asymptotic theory on all parameters in the model.
ISBN: 9781124089232Subjects--Topical Terms:
1017424
Economics, General.
Essays on weak identification and cointegrating rank selection.
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Essays on weak identification and cointegrating rank selection.
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294 p.
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Source: Dissertation Abstracts International, Volume: 71-07, Section: A, page: 2557.
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Advisers: Donald W. K. Andrews; Peter C. B. Phillips.
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Thesis (Ph.D.)--Yale University, 2010.
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The first two chapters of my dissertation analyze estimation and inference with weak identification. The first chapter studies the least squares (LS) estimator of a nonlinear regression model. This chapter develops a local limit theory that provides a uniform approximation to the finite-sample distribution irrespective of the strength of identification, shows that standard confidence intervals (CIs) and subsampling CIs are prone to size distortion, and develops a new confidence interval (CI) that has good finite-sample coverage probability. This chapter also develops a sequential procedure to deal with multiple nonlinear regressors with different identification strength. It is shown that weak identification on any nonlinear regressor will lead to poor finite-sample approximation by standard asymptotic theory on all parameters in the model.
520
$a
The second chapter (joint with Donald W. K. Andrews) studies estimation and inference in a class of models in which the parameters are unidentified or weakly identified in some parts of the parameter space. It also introduces a method to make the tests and CS's robust to such identification problems. The results apply to a class of extremum estimators and corresponding tests and CS's, including maximum likelihood (ML), least squares (LS), quantile, generalized method of moments (GMM), generalized empirical likelihood (GEL), and minimum distance (MD) estimators. The consistency/lack-of-consistency and asymptotic distributions of the estimators are established under a full range of drifting sequences of true distributions. The asymptotic size (in a uniform sense) of standard tests and CS's is established.
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$a
The third chapter studies long-run exchange rate dynamics by applying a semi-parametric cointegrating rank selection method introduced in Cheng and Phillips (2009a, 2009b). Cheng and Phillips (2009a, 2009b) show that a general semi-parametric error correction model (ECM) with one lag, information criteria based on the reduced rank regression (RRR) can consistently select the cointegrating rank provided that the penalty term goes to infinity at a rate slower than the sample size. This method is robust to persistent volatility shifts of an unknown form, which makes it particularly suitable for the long-run exchange rate dynamics. This empirical study assesses the information criteria-based approach and evaluates long-run exchange rate dynamics among seven major currencies under the flexible exchange rate regimes.
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School code: 0265.
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Phillips, Peter C. B.,
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3415014
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