Alternative GMM estimators for first-order autoregressive panel model: An improving efficiency approach

ABSTRACT This article considers first-order autoregressive panel model that is a simple model for dynamic panel data (DPD) models. The generalized method of moments (GMM) gives efficient estimators for these models. This efficiency is affected by the choice of the weighting matrix that has been used in GMM estimation. The non-optimal weighting matrices have been used in the conventional GMM estimators. This led to a loss of efficiency. Therefore, we present new GMM estimators based on optimal or suboptimal weighting matrices. Monte Carlo study indicates that the bias and efficiency of the new estimators are more reliable than the conventional estimators.

[1]  M. Arellano,et al.  The Time Series and Cross-Section Asymptotics of Dynamic Panel Data Estimators , 2003 .

[2]  M. Pesaran,et al.  Maximum likelihood estimation of fixed effects dynamic panel data models covering short time periods , 2002 .

[3]  Cheng Hsiao,et al.  Formulation and estimation of dynamic models using panel data , 1982 .

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

[5]  Ahmed H. Youssef,et al.  Improving the Efficiency of GMM Estimators for Dynamic Panel Models , 2014 .

[6]  Frank Windmeijer.  Efficiency comparisons for a system GMM estimator in dynamic panel data models , 1998 .

[7]  Masao Ogaki,et al.  17 Generalized method of moments: Econometric applications , 1993 .

[8]  Tony Lancaster,et al.  Orthogonal Parameters and Panel Data , 2002 .

[9]  M. Pesaran,et al.  ESTIMATION AND INFERENCE IN SHORT PANEL VECTOR AUTOREGRESSIONS WITH UNIT ROOTS AND COINTEGRATION , 2000, Econometric Theory.

[10]  Kazuhiko Hayakawa,et al.  Robust Standard Errors in Transformed Likelihood Estimation of Dynamic Panel Data Models , 2012, SSRN Electronic Journal.

[11]  Kazuhiko Hayakawa,et al.  Small sample bias properties of the system GMM estimator in dynamic panel data models , 2007 .

[12]  Geert Dhaene,et al.  Split-Panel Jackknife Estimation of Fixed-Effect Models , 2015 .

[13]  Vasilis Sarafidis,et al.  Dynamic panel data models , 2013 .

[14]  R. Blundell,et al.  Initial Conditions and Moment Restrictions in Dynamic Panel Data Models , 1998 .

[15]  A. Chaturvedi.  Analysis of Panel Data, 3rd edn C. Hsiao, 2014 Cambridge, Cambridge University Press 562 pp., $49.99 ISBN 978-1-107-03860-1 (hardbound), 978-1-107-65763-2 paperbound , 2016 .

[16]  M. Arellano,et al.  Another look at the instrumental variable estimation of error-components models , 1995 .

[17]  M. Arellano,et al.  Symmetrically Normalized Instrumental-Variable Estimation Using Panel Data , 1999 .

[18]  David Roodman,et al.  A Note on the Theme of Too Many Instruments , 2008 .

[19]  M. Nerlove,et al.  Biases in dynamic models with fixed effects , 1988 .

[20]  F. Windmeijer.  A Finite Sample Correction for the Variance of Linear Two-Step GMM Estimators , 2000 .

[21]  J. Kiviet,et al.  The Effects of Dynamic Feedbacks on Ls and Mm Estimator Accuracy in Panel Data Models , 2002 .

[22]  Stephen R. Bond.  Dynamic panel data models: a guide to micro data methods and practice , 2002 .

[23]  Peter Schmidt,et al.  Efficient estimation of models for dynamic panel data , 1995 .

[24]  Ahmed H. Youssef,et al.  New GMM Estimators for Dynamic Panel Data Models , 2014 .

[25]  Badi H. Baltagi,et al.  The Oxford Handbook of Panel Data , 2014 .

[26]  M. Arellano,et al.  Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations , 1991 .

[27]  Stephen Bond,et al.  Estimation in dynamic panel data models: Improving on the performance of the standard GMM estimator , 2000 .

[28]  Cheng Hsiao,et al.  Analysis of Panel Data , 1987 .

[29]  P. Phillips,et al.  X-DIFFERENCING AND DYNAMIC PANEL MODEL ESTIMATION , 2013, Econometric Theory.

[30]  H. Kwon,et al.  An Alternative System GMM Estimation in Dynamic Panel Models , 2007 .

[31]  P. Phillips,et al.  GMM ESTIMATION FOR DYNAMIC PANELS WITH FIXED EFFECTS AND STRONG INSTRUMENTS AT UNITY , 2007, Econometric Theory.

[32]  W. Newey,et al.  Estimating vector autoregressions with panel data , 1988 .

[33]  H. Neudecker,et al.  Kantorovich inequalities and efficiency comparisons for several classes of estimators in linear models , 1997 .