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Factor-GMM estimation with large sets of possibly weak instruments. (English) Zbl 1284.91447

Summary: The use of factor analysis for instrumental variable estimation when the number of instruments tends to infinity is analysed. In particular, the focus is on situations where many weak instruments exist and/or the factor structure is weak. Theoretical results, simulation experiments and empirical applications highlight the relevance of Factor-GMM estimation, which is also easily implemented.

MSC:

91B82 Statistical methods; economic indices and measures
62H25 Factor analysis and principal components; correspondence analysis
91B51 Dynamic stochastic general equilibrium theory

References:

[1] Amemiya, T., On the use of principal components of independent variables in two-stage least-squares estimation, International Economic Review, 7, 283-303 (1966) · Zbl 0161.15902
[2] Bai, J., Inferential theory for factor models of large dimensions, Econometrica, 71, 135-173 (2003) · Zbl 1136.62354
[3] Bai, J.; Ng, S., Determining the number of factors in approximate factor models, Econometrica, 70, 191-221 (2002) · Zbl 1103.91399
[4] Bai, J.; Ng, S., Confidence intervals for diffusion index forecasts and inference for factor-augmented regressions, Econometrica, 74, 1133-1150 (2006) · Zbl 1152.91721
[5] Bai, J.; Ng, S., Instrumental Variable Estimation in a Data Rich Environment (2006), Mimeo
[6] Beck, G.; Hubrich, K.; Marcellino, M., Regional inflation dynamics within and across euro area countries and a comparison with the US, Economic Policy, 24, 141-184 (2009)
[7] Bekker, P. A., Alternative approximations to the distributions of instrumental variable estimators, Econometrica, 62, 657-681 (1994) · Zbl 0795.62102
[8] Bernanke, B.; Boivin, J.; Eliasz, P. S., Measuring the effects of monetary policy: a factor-augmented vector autoregressive (FAVAR) approach, Quarterly Journal of Economics, 120, 387-422 (2005)
[9] Beyer, A.; Farmer, R., On the indeterminacy of New-Keynesian economics, Computing in Economics and Finance, 152 (2004)
[10] Beyer, A.; Farmer, R.; Henry, J.; Marcellino, M., Factor analysis in a New-Keynesian model, Econometrics Journal, 11, 2, 271-286 (2008) · Zbl 1141.91617
[11] Boivin, J.; Ng, S., Are more data always better for factor analysis?, Journal of Econometrics, 127, 169-194 (2006) · Zbl 1337.62345
[12] Chao, J.; Hausman, J.; Newey, W.; Swanson, N. R.; Woutersen, T. M., IV Estimation with Heteroscedasticity and Many Instruments (2006), Mimeo
[13] Chao, J. C.; Swanson, N. R., Consistent estimation with a large number of weak instruments, Econometrica, 73, 1673-1692 (2005) · Zbl 1151.62366
[14] Clarida, R.; Galí, J.; Gertler, M., Monetary policy rules in practice: some international evidence, European Economic Review, 42, 1033-1067 (1998)
[15] Clarida, R.; Galí, J.; Gertler, M., Monetary policy rules and macroeconomic stability: evidence and some theory, Quarterly Journal of Economics, 115, 147-180 (2000) · Zbl 1064.91512
[16] Coakley, J.; Fuertes, A. M.; Smith, R., Unobserved heterogeneity in panel time series models, Computational Statistics and Data Analysis, 50, 9, 2361-2380 (2006) · Zbl 1445.62310
[17] Davidson, J., Stochastic Limit Theory (1994), Oxford University Press
[18] Dufour, J. M.; Khalaf, L.; Kichian, M., Inflation dynamics and the New Keynesian Phillips curve: an identification robust econometric analysis, Journal of Economic Dynamics and Control, 30, 1707-1727 (2006) · Zbl 1162.91478
[19] Dufour, J. M.; Khalaf, L.; Kichian, M., Structural Estimation and Evaluation of Calvo-Style Inflation Models (2006), Mimeo: Mimeo University of Montreal
[20] Favero, C.; Marcellino, M.; Neglia, F., Principal components at work: the empirical analysis of monetary policy with large datasets, Journal of Applied Econometrics, 20, 603-620 (2005)
[22] Forni, M.; Hallin, M.; Lippi, M.; Reichlin, L., The generalised factor model: identification and estimation, Review of Economics and Statistics, 82, 540-554 (2000)
[23] Forni, M.; Hallin, M.; Lippi, M.; Reichlin, L., The generalized dynamic factor model: consistency and rates, Journal of Econometrics, 119, 2, 231-255 (2004) · Zbl 1282.91267
[24] Galí, J.; Gertler, M., Inflation dynamics: a structural econometric approach, Journal of Monetary Economics, 44, 195-222 (1999)
[26] Hahn, J.; Kuersteiner, G., Discontinuities of weak instrument limiting distributions, Economics Letters, 75, 325-331 (2002) · Zbl 1041.91048
[27] Han, C.; Phillips, P. C.B., GMM with many moment conditions, Econometrica, 74, 147-182 (2006) · Zbl 1112.62136
[29] Kapetanios, G., Choosing the optimal set of instruments from large instrument sets, Computational Statistics and Data Analysis, 51, 2, 612-620 (2006) · Zbl 1157.62567
[31] Kapetanios, G.; Marcellino, M., A parametric estimation method for dynamic factor models of large dimensions, Journal of Time Series Analysis, 30, 208-238 (2009) · Zbl 1223.62097
[33] Kloek, T.; Mennes, L., Simultaneous equations estimation based on principal components of predetermined variables, Econometrica, 28, 46-61 (1960) · Zbl 0090.36504
[34] Lutkepohl, H., Handbook of Matrices (1996), Wiley · Zbl 0856.15001
[35] Morimune, K., Approximate distributions of \(k\)-class estimators when the degree of overidentification is large compared with the sample size, Econometrica, 51, 821-842 (1983) · Zbl 0586.62028
[37] Newey, W.; West, K. D., A simple, positive semi-definite heteroscedasticity and autocorrelation consistent covariance matrix, Econometrica, 55, 703-708 (1987) · Zbl 0658.62139
[38] Newey, W.; West, K., Automatic lag selection in covariance matrix estimation, Review of Economic Studies, 61, 631-653 (1994) · Zbl 0815.62063
[39] Onatski, A., Asymptotic Distribution of the Principal Components Estimator of Large Factor Models when Factors are Relatively Weak (2006), Mimeo
[40] Schwarz, H.; Rutishauser, H. R.; Stiefel, E., Numerical Analysis of Symmetric Matrices (1973), Prentice Hall
[41] Staiger, D.; Stock, J. H., Instrumental variables regression with weak instruments, Econometrica, 65, 557-586 (1997) · Zbl 0871.62101
[42] Stock, J. H.; Watson, M. W., Forecasting using principal components from a large number of predictors, Journal of the American Statistical Association, 97, 1167-1179 (2002) · Zbl 1041.62081
[43] Stock, J. H.; Watson, M. W., Macroeconomic forecasting using diffusion indices, Journal of Business and Economic Statistics, 20, 147-162 (2002)
[44] Stock, J. H.; Watson, M. W., Implications of Dynamic Factor Models for VAR Analysis (2005), Mimeo
[45] Stock, J. H.; Yogo, M., Asymptotic distributions of instrumental variables statistics with many weak instruments, (Andrews, D. W.K.; Stock, J. H., Identification and Inference for Econometric Models: Essays in Honour of Thomas J. Rothenberg (2003), Cambridge University Press) · Zbl 1119.62015
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