Monthly GDP estimates in Mexico based on the IGAE

  • Rocio Elizondo Banco de México
Keywords: gross domestic product, global indicator of economic activity (IGAE), Kalman filter, Denton method, forecasts
JEL Classification: I10, I12, J21, J30


This article presents three methods to estimate the monthly GDP in Mexico: (1) a deterministic approach; (2) an extension of Denton method; and, (3) the Kalman filter. In these methods the monthly GDP is regarded as an unobservable variable that is approximated using only the IGAE. Results show that the three methods do a good job in adjusting the observed data of the quarterly GDP within the sample, with average adjustment errors of at most 0.1%. Additionally, given the dynamic structure of the Kalman filter method and that under different estimation periods it was found that the parameters corresponding remained relatively stable. Therefore, this method was used to perform out-of-sample forecasts.


Chow, G.C. y A. Lin. 1971. Best Linear Unbiased Interpolation, Distribution, and Extrapolation of Time Series by Related Series, The Review of Economics and Statistics, 53(4): 372-375.

Cortázar, G., E. Schwartz y L. Naranjo. 2003. Term Structure Estimation in Low-Frequency Transaction Markets: A Kalman Filter Approach with Incomplete Panel-Data, UC Los Angeles: Anderson Graduate School of Management, recuperado de: http://ítem/56h775cz.

Cuche, N.A. y M.K. Hess. 2000. Estimating Monthly GDP in a General Kalman Filter Framework: Evidence from Switzerland, Economic and Financial Modeling, pp. 153-193.

De Alba, E. 1990. Estimación del PIB trimestral para México, Estudios Económicos, 5(2): 359-370.

Denton, F.T. 1971. Adjustment of Monthly or Quarterly Series to Annual Totals: An Approach Based on Quadratic Minimization, Journal of the American Statistical Association, 66 (333): 99-102.

Fernández, R.B. 1981. A Methodological Note on the Estimation of Time Series, The Review of Economics and Statistics, 63(3): 471-476.

Guerrero, V. M. 1990. Temporal Disaggregation of Time Series: An ARIMA based approach, International Statistical Review, 58: 29-46.

Guerrero, V. M. 2003. Monthly Disaggregation of a Quarterly Time Series and Forecast of Its Unobservable Monthly Values, Journal of Official Statistics, 19(3): 215-235.

Guerrero, V. M. 2004. Nota sobre la estimación del PIB mensual de México, Estadística, 56(166): 35-60.

Guerrero, V. M. y J. Martínez. 1995. A Recursive ARIMA-Based Procedure For Disaggre-gating a Time Series Variable Using Concurrent Data, Test, 4(2): 359-376.

Harvey, A.C. y N. Shephard. 1993. Structural Time Series Models, en G.S. Maddala, C.R. Rao y H.D. Vinod (eds.) Handbook of Statistics, vol. 11, pp. 261-302.

Karanfil, F y A. Ozkaya. 2007. Estimation of Real GDP and Unrecorded Economy in Turkey Base Done Environmental Data, Energy Policy, 35(10): 4902-4908.

Kleinbauer, R. 2004. Kalman Filtering Implementation with Matlab, Study Report in the Field of Study Geodesy and Geoinformatics at University Stuttgart.

Mariano, R.S. y Y. Murasawa. 2000. A New Coincident Index of Business Cycles Base on Monthly and Quarterly Series, Journal of Applied Econometrics, 18: 427-443.

Pasricha, G.K. 2006. Kalman Filter and its Economic Applications, MPRA Paper, núm. 22734.

Solera, A. 2003. El Filtro de Kalman, Nota Técnica No. DIE-02-2003-NT del Banco Central de Costa Rica.

Stock, J. H. y M. W. Watson. 1998. A probability Model of the Coincident Economic Indicators, NBER Working Paper Series, núm. 2772.

Stock, J. H. y M. W. Watson. 2002. Macroeconomic Forecasting Using Diffusion Indexes, Journal of Business and Economic Statistics, 20(2): 147-162.

Tanizaki, H. 1996. State-Space Model in Linear Case, Nonlinear Filters: Estimation and Applications, Springer-Verlarg, capítulo 1, pp.15-41.

Welch, G. y G. Bishop. 2006. An Introduction to the Kalman Filter, Department of Computer Science, University of North Carolina at Chapel Hill.

Wu, K.H. y Z.G. Chen. 2006. Comparison of Benchmarking Methods with and Without Survey Error Model, International Statistical Review, 74(3): 285-304.

How to Cite
ElizondoR. (2019). Monthly GDP estimates in Mexico based on the IGAE. Estudios Económicos, 34(2), 197-241.
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