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Cross-sectional Aggregation of Non-linear Models

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Author Info
Van Garderen, K. J.
Lee, K.
Pesaran M.

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Abstract

This paper considers the problem of cross-sectional aggregation when the underlying micro behavioural relations are characterised by general non-linear specifications. It focuses on forecasting the aggregates, and shows how an optimal aggregate model can be derived by minimising the mean squared prediction errors conditional on the aggregate information. It also derives model selection criteria for distinguishing between aggregate and disaggregate models when the primary object of the analysis is forecasting the aggregates, and establishes the consistency of the model selection criteria in large samples. In the case of standard non-linear micro relations with additive specifications, boot-strap techniques are considered to correct for small sample bias of the proposed model selection criteria. The paper also contains an empirical application where log-linear production functions are estimated for the UK economy disaggregated by eight industrial sectors and at the aggregate level for 1954-1995.

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Publisher Info
Paper provided by Faculty of Economics, University of Cambridge in its series Cambridge Working Papers in Economics with number 9803.

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Date of creation: 1998
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Handle: RePEc:cam:camdae:9803

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  1. Kirstin Hubrich & David F. Hendry, 2005. "Forecasting Aggregates by Disaggregates," Computing in Economics and Finance 2005 270, Society for Computational Economics. [Downloadable!]
  2. Janine Aron & John Muellbauer, 2008. "New methods for forecasting inflation and its sub-components: application to the USA," Economics Series Working Papers 406, University of Oxford, Department of Economics. [Downloadable!]
  3. Pedro H. Albuquerque, 2005. "Inequality-Driven Growth: Unveiling Aggregation Effects in Growth Equations," Development and Comp Systems 0511028, EconWPA. [Downloadable!]
    Other versions:
  4. Pesaran, M. H., 1999. "On Aggregation of Linear Dynamic Models," Cambridge Working Papers in Economics 9919, Faculty of Economics, University of Cambridge. [Downloadable!]
  5. David F. Hendry & Kirstin Hubrich, 2006. "Forecasting economic aggregates by disaggregates," Working Paper Series 589, European Central Bank. [Downloadable!]
    Other versions:
  6. Pedro H. Albuquerque, 2003. "A practical log-linear aggregation method with examples: heterogeneous income growth in the USA," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(6), pages 665-678. [Downloadable!]
  7. Rodolphe Buda, 2008. "Two Dimensional Aggregation Procedure: An Alternative to the Matrix Algebraic Algorithm," Computational Economics, Springer, vol. 31(4), pages 397-408, May. [Downloadable!] (restricted)
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