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Comparison of Bayesian moving Average and Principal Component Forecast for Large Dimensional Factor Models

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  • Rachida Ouysse

    ()
    (School of Economics, The University of New South Wales)

Abstract

The growing availability of financial and macroeconomic data sets including a large number of time series (hence the high dimensionality) calls for econometric methods providing a convenient and parsimonious representation of the covariance structure both in the time and the cross-sectional dimensions. Currently, dynamic factor models constitute the dominant framework across many disciplines for formal compression of information. To overcome the challenges of dimensionality, many forecast approaches proceed by somehow reducing the number of predictors. Principal component regression (PCR) approach proposes computing forecasts as projection on the first few principal components of the predictors. Bayesian model averaging (BMA) approach combines forecasts to extract information from different possible relationships between the predicted variable and the predictor variables. These two literature apparently moved in two different directions. However, recent findings by De Mol et al. [2008] and the Ouysse and Kohn [2009] suggest there are theoretical and practical reasons to connect the two literatures. This paper provides empirical evidence for connecting these two seemingly different approaches to forecasting. The empirical results serve as a preliminary guide to understanding the behaviour of BMA under double asymptotics, i.e. when the cross-section and the sample size become large.

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File URL: http://research.economics.unsw.edu.au/RePEc/papers/2012-03.pdf
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Bibliographic Info

Paper provided by School of Economics, The University of New South Wales in its series Discussion Papers with number 2012-03.

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Length: 8 pages
Date of creation: Apr 2011
Date of revision:
Handle: RePEc:swe:wpaper:2012-03

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Keywords: Bayesian variable selection; shrinkage regression; principal components analysis; factor models; forecasting.;

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  1. De Mol, Christine & Giannone, Domenico & Reichlin, Lucrezia, 2006. "Forecasting using a large number of predictors: is Bayesian regression a valid alternative to principal components?," Discussion Paper Series 1: Economic Studies 2006,32, Deutsche Bundesbank, Research Centre.
  2. Stock J.H. & Watson M.W., 2002. "Forecasting Using Principal Components From a Large Number of Predictors," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 1167-1179, December.
  3. Carmen Fernández & Eduardo Ley & Mark F. J. Steel, . "Benchmark priors for Bayesian Model averaging," Working Papers 98-06, FEDEA.
  4. Ouysse, Rachida, 2006. "Consistent variable selection in large panels when factors are observable," Journal of Multivariate Analysis, Elsevier, vol. 97(4), pages 946-984, April.
  5. Ouysse, Rachida & Kohn, Robert, 2010. "Bayesian variable selection and model averaging in the arbitrage pricing theory model," Computational Statistics & Data Analysis, Elsevier, vol. 54(12), pages 3249-3268, December.
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