Efficient Inference with Time-Varying Identification Strength

In the last two decades, there has been a lot of empirical evidence suggesting that many macroeconometric and financial models (e.g. for inflation, interest rates, or exchange rates) are subject to both parameter instability and identification problems. In this paper, we address both issues in a unified framework, and provide a comprehensive treatment of the link between them. Changes in identification strength provide an additional source of information that is used to improve estimation. More generally, we show that detecting and locating changes in instrument strength is essential for efficient asymptotic inference, and we provide a step-by-step guide for practitioners. In our simulation studies, our global inference procedures show very good size and power properties.

[1]  Inference in Econometric Models with Structural Change , 1987 .

[2]  Mehmet Caner PIVOTAL STRUCTURAL CHANGE TESTS IN LINEAR SIMULTANEOUS EQUATIONS WITH WEAK IDENTIFICATION , 2007, Econometric Theory.

[3]  F. Kleibergen,et al.  Weak Instrument Robust Tests in GMM and the New Keynesian Phillips Curve , 2009 .

[4]  John B. Taylor Aggregate Dynamics and Staggered Contracts , 1980, Journal of Political Economy.

[5]  Jean-Marie Dufour,et al.  Inflation dynamics and the New Keynesian Phillips Curve: an identification robust econometric analysis , 2005 .

[6]  J. Bai,et al.  Estimation of a Change Point in Multiple Regression Models , 1997, Review of Economics and Statistics.

[7]  L. Hansen Large Sample Properties of Generalized Method of Moments Estimators , 1982 .

[8]  Frank Kleibergen,et al.  Testing Parameters in GMM without Assuming that they are identified , 2005 .

[9]  B. Bernanke The Great Moderation , 2012 .

[10]  Karim M. Abadir,et al.  Matrix Algebra: Notation , 2005 .

[11]  M. Pesaran,et al.  Pension Reforms and Women Retirement Plans , 2008, The Journal of Human Resources.

[12]  J. Galí,et al.  On the Sources of the Great Moderation , 2006 .

[13]  P. Schmidt,et al.  A separability result for GMM estimation, with applications to GLS prediction and conditional moment tests , 1995 .

[14]  Jonathan H. Wright,et al.  GMM WITH WEAK IDENTIFICATION , 2000 .

[15]  James M. Nason,et al.  Identifying the New Keynesian Phillips Curve , 2005 .

[16]  É. Renault,et al.  Efficient Gmm with Nearly-Weak Instruments , 2009 .

[17]  Fabio Canova,et al.  Back to Square One: Identification Issues in DSGE Models , 2009, SSRN Electronic Journal.

[18]  Jean-Marie Dufour,et al.  Identification, Weak Instruments, and Statistical Inference in Econometrics , 2003 .

[19]  Julio J. Rotemberg,et al.  Sticky Prices in the United States , 1982, Journal of Political Economy.

[20]  D. Osborn,et al.  The New Keynesian Phillips Curve: From Sticky Inflation to Sticky Prices , 2008 .

[21]  D. Andrews Tests for Parameter Instability and Structural Change with Unknown Change Point , 1993 .

[22]  J. Stock,et al.  Instrumental Variables Regression with Weak Instruments , 1994 .

[23]  P. Perron,et al.  Estimating and Testing Structural Changes in Multivariate Regressions , 2007 .

[24]  Alastair R. Hall,et al.  Asymptotic Distribution Theory for Break Point Estimators in Models Estimated via 2SLS , 2012 .

[25]  Sophocles Mavroeidis,et al.  Identification Issues in Forward-Looking Models Estimated by GMM, with an Application to the Phillips Curve , 2005 .

[26]  Alastair R. Hall,et al.  Inference regarding multiple structural changes in linear models with endogenous regressors☆ , 2012, Journal of econometrics.

[27]  D. Andrews,et al.  Estimation and Inference with Weak, Semi-Strong, and Strong Identification , 2010 .

[28]  Christian Hansen,et al.  Estimation With Many Instrumental Variables , 2006, Journal of Business & Economic Statistics.

[29]  P. Perron,et al.  Estimating and testing linear models with multiple structural changes , 1995 .

[30]  L. Hansen,et al.  Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models , 1982 .

[31]  D. Andrews,et al.  Estimation and Inference with Weak Identi…cation , 2010 .

[32]  J. Hahn,et al.  Discontinuities of weak instrument limiting distributions , 2002 .

[33]  L. Magnusson,et al.  Identification Using Stability Restrictions , 2013 .

[34]  Athanasios Orphanides Monetary policy rules based on real-time data , 1998 .

[35]  D. Andrews,et al.  Optimal Tests When a Nuisance Parameter Is Present Only Under the Alternative , 1992 .

[36]  Jonathan H. Wright,et al.  A Survey of Weak Instruments and Weak Identification in Generalized Method of Moments , 2002 .

[37]  J. Galí,et al.  Monetary Policy Rules in Practice: Some International Evidence , 1997 .

[38]  Roberto Rigobon,et al.  Identification Through Heteroskedasticity , 2003, Review of Economics and Statistics.

[39]  J. Stock,et al.  Inference with Weak Instruments , 2005 .

[40]  L. Hansen,et al.  Finite Sample Properties of Some Alternative Gmm Estimators , 2015 .

[41]  Eric Ghysels,et al.  A Test for Structural Stability of Euler Conditions Parameters Estimated Via the Generalized Methods of Moments Estimators , 1990 .

[42]  F. Vella,et al.  Estimating a Class of Triangular Simultaneous Equations Models Without Exclusion Restrictions , 2005 .

[43]  Peter Schmidt,et al.  Redundancy of moment conditions , 1999 .

[44]  A. F. Whiting Identification , 1960 .

[45]  P. Perron,et al.  Critical Values for Multiple Structural Change Tests , 2003 .

[46]  George Kapetanios,et al.  Factor-GMM Estimation with Large Sets of Possibly Weak Instruments , 2010, Comput. Stat. Data Anal..

[47]  The Science of Monetary Policy: A New Keynesian Perspective , 1999 .

[48]  G. Calvo Staggered prices in a utility-maximizing framework , 1983 .

[49]  É. Renault,et al.  Efficient Minimum Distance Estimation with Multiple Rates of Convergence , 2012 .

[50]  J. Galí,et al.  European Inflation Dynamics , 2001 .