GMM Estimation of short dynamic panel data models with error cross-sectional dependence

Sarafidis, Vasilis (2009): GMM Estimation of short dynamic panel data models with error cross-sectional dependence.

Abstract

This paper considers estimation of short dynamic panel data models with error cross-sectional dependence. It is shown that under spatially correlated errors, an additional, generally non-redundant, set of moment conditions becomes available for each i - specifically, instruments with respect to the individual(s) which unit i is spatially correlated with. We demonstrate that these moment conditions remain valid when the error term contains a common factor component, in which situation the standard moment conditions with respect to individual i itself are invalidated, and thereby the standard dynamic panel GMM estimators are inconsistent. The resulting estimators are computationally attractive and do not require estimating the number of unobserved factors. Simulated experiments show that the resulting method of moments estimators perform well in terms of both median bias and root median square error.

• Item Type: MPRA Paper
• Language: English
• Keywords: Dynamic panel data, spatial dependence, factor structure dependence, Generalised Method of Moments
• Subjects: C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C15 - Statistical Simulation Methods: General; C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C33 - Panel Data Models ; Spatio-temporal Models

References

Ahn, S.C., Lee, Y.H. and P. Schmidt, (1995) "Panel Data Models with Multiple Time-varying Individual effects", Mimeo.

Ahn, S.C and P. Schmidt, (1995) "Efficient Estimations of Models for Dynamic Panel Data", Journal of Econometrics, 68, 5-28.

Anderson, T.W. and C. Hsiao (1981) "Estimation of Dynamic Models with Error Components", Journal of the American Statistical Association, 76, 598-606.

Anselin, L. (1990) "Some Robust Approaches to Testing and Estimation in Spatial Econometrics", Regional Science and Urban Economics 20, 141-163.

Anselin, L. (2001) "Spatial Econometrics", in: Baltagi, B.H. (Eds.), A Companion to Theoretical Econometrics. Blackwell Publishing, pp. 310-330.

Arellano, M. (2003) "Panel Data Econometrics", Oxford University Press, Oxford.

Arellano, M. (1993) "On the Testing of Correlated Effects with Panel Data", Journal of Econometrics, 59, 87-97.

Arellano, M. and O. Bover (1995) "Another Look at the Instrumental Variable Estimation of Error-Component Models", Journal of Econometrics, 68, 29-51.

Bai, J. (2009) "Panel Data Models with Interactive Fixed Effects", Econometrica 77, 1229-1279.

Baltagi, B., Bresson, G. and A. Pirotte (2007) "Panel Unit Root Tests and Spatial Dependence", Journal of Applied Econometrics, 22, 339-360.

Blundell, R. and S. Bond (1998) "Initial Conditions and Moment Restrictions in Dynamic Panel Data Models", Journal of Econometrics, 87, 115-143.

Bover, O. and N. Watson (2005) "Are there economies of scale in the demand for money by firms? Some panel data estimates", Journal of Monetary Economics, 52, 1569-1589.

Breusch, T., Qian, H., Schmidt, P. and D. Wyhowski, (1999) "Redundancy of moment conditions". Journal of Econometrics 91, 89-111.

Chudik, A., Pesaran, H. and E. Tosetti (2011) "Weak and strong cross section dependence and estimation of large panels". The Econometrics Journal 14, c45-c90.

Conley, T.G. (1999) "GMM Estimation with cross-sectional Dependence", Journal of Econometrics, 92, 1-45.

Fingleton, B. (2008) "A generalized method of moments estimator for a spatial model with moving average errors, with application to real estate prices", Empirical Economics 34, 35-57.

Goldberger, A.S. (1972) "Structural Equation Methods in the Social Sciences", Econometrica, 40, 979-1001.

Hall, P. (1985) "Resampling a coverage pattern", Stochastic Processes and their Applications 20, 231-246.

Hsiao, C. and A.K. Tahmiscioglu (2008) "Estimation of dynamic panel data models with both individual and time specific effects", Journal of Statistical Planning and Inference 138, 2698-2721.

Joreskog, K.G. and A.S. Goldberger (1975) "Estimation of a model with multiple indicators and multiple causes of a single latent variable", Journal of the American Statistical Association, 70, 631-639.

Lee, L. (2007) "GMM and 2SLS Estimation of Mixed Regressive, Spatial Autoregressive Models", Journal of Econometrics 137, 489-514.

Lee, L. and J. Yu (2010) "Efficient GMM estimation of spatial dynamic panel data models with �fixed effects", Mimeo.

Moon, H.R. and B. Perron (2004) "Efficient Estimation of the SUR Cointegrating Regression Model and Testing for Purchasing Power Parity", Econometric Reviews, Vol. 23, 293-323.

Pesaran, H. (2006) "Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure", Econometrica, 74, 967-1012.

Pesaran, H. and E. Tosetti (2011) "Large Panels with Common Factors and Spatial Correlations", Journal of Econometrics 161, 182-202.

Phillips, P. and D. Sul (2003) "Dynamic Panel Estimation and Homogeneity Testing under cross-sectional Dependence", The Econometrics Journal, Vol. 6, 217-259.

Phillips, P. and D. Sul (2007). "Bias in Dynamic Panel Estimation with Fixed Effects, Incidental Trends and cross-sectional Dependence", Journal of Econometrics, 137, 162-188.

Robertson, D. and J. Symons (2007) "Maximum likelihood factor analysis with rank defficient sample covariance matrices", Journal of Multivariate Analysis 98, 813-828.

Sarafidis, V. and D. Robertson (2009) "On the Impact of cross-sectional Dependence in Short Dynamic Panel Estimation", The Econometrics Journal 12:1, 62-81.

Sarafidis, V. Yamagata, T. and D. Robertson (2009) "A Test of Error Cross-section Dependence for a Linear Dynamic Panel Model with Regressors", Journal of Econometrics 148:2, 149-161.

Sarafidis, V. and T. Wansbeek (2012) "Cross-sectional dependence in panel data analysis" Econometric Reviews, forthcoming.