Forecasting Chinese GDP with Mixed Frequency Data Set: A Generalized Lasso Granger Method

In this paper, we introduce an effective machine learning method which can capture the temporal causal structures between irregular time series to forecast China GDP growth rate with Mixed Frequency data set. The introduced method first generalized the inner product operator via kernels so that regression-based temporal casual models can be applicable to irregular time series, then the temporal casual relationships among the irregular time series are studied by Generalized Lasso Granger (GLG) graphical models. The main advantage of this approach is that it does not directly estimate the values of missing data of low frequency time series or has restricted assumptions about the generation process of the time series. By applying this method to a 17 macroeconomic indicators GLG model, the forecasting accuracy is better than the autoregressive (AR) benchmark model and a widely used mixed-data sampling (MIDAS) model.

[1]  Yan Liu,et al.  Granger Causality Analysis in Irregular Time Series , 2012, SDM.

[2]  H. Zou The Adaptive Lasso and Its Oracle Properties , 2006 .

[3]  E. Ghysels,et al.  MIDAS Regressions: Further Results and New Directions , 2006 .

[4]  Lili Wang,et al.  Linear non-Gaussian causal discovery from a composite set of major US macroeconomic factors , 2012, Expert Syst. Appl..

[5]  David Veredas,et al.  Temporal Aggregation of Univariate and Multivariate Time Series Models: A Survey , 2008 .

[6]  David Veredas,et al.  Monitoring and forecasting annual public deficit every month: the case of France , 2008 .

[7]  G. Chow,et al.  Best Linear Unbiased Interpolation, Distribution, and Extrapolation of Time Series by Related Series , 1971 .

[8]  Eric Ghysels,et al.  Série Scientifique Scientific Series the Midas Touch: Mixed Data Sampling Regression Models the Midas Touch: Mixed Data Sampling Regression Models* , 2022 .

[9]  Yan Liu,et al.  Temporal causal modeling with graphical granger methods , 2007, KDD '07.

[10]  Yongcheol Shin,et al.  An Autoregressive Distributed Lag Modelling Approach to Cointegration Analysis , 1995 .

[11]  E. Ghysels,et al.  Série Scientifique Scientific Series Predicting Volatility: Getting the Most out of Return Data Sampled at Different Frequencies , 2022 .

[12]  Stefan Mittnik,et al.  Forecasting Quarterly German GDP at Monthly Intervals Using Monthly Ifo Business Conditions Data , 2004, SSRN Electronic Journal.

[13]  C. Granger Investigating Causal Relations by Econometric Models and Cross-Spectral Methods , 1969 .

[14]  Massimiliano Marcellino,et al.  Midas Vs. Mixed-Frequency VAR: Nowcasting GDP in the Euro Area , 2009 .