Econometric Analysis of High Dimensional VARs Featuring a Dominant Unit

Mohammad Pesaran and Alexander Chudik

Cambridge Working Papers in Economics from Faculty of Economics, University of Cambridge

Abstract: This paper extends the analysis of infinite dimensional vector autoregressive models (IVAR) proposed in Chudik and Pesaran (2010) to the case where one of the variables or the cross section units in the IVAR model is dominant or pervasive. This extension is not straightforward and involves several technical dificulties. The dominant unit influences the rest of the variables in the IVAR model both directly and indirectly, and its effects do not vanish even as the dimension of the model (N) tends to infinity. The dominant unit acts as a dynamic factor in the regressions of the non-dominant units and yields an infinite order distributed lag relationship between the two types of units. Despite this it is shown that the effects of the dominant unit as well as those of the neighborhood units can be consistently estimated by running augmented least squares regressions that include distributed lag functions of the dominant unit. The asymptotic distribution of the estimators is derived and their small sample properties investigated by means of Monte Carlo experiments.

Keywords: IVAR Models; Dominant Units; Large Panels; Weak and Strong Cross Section Dependence; Factor Model (search for similar items in EconPapers)
JEL-codes: C10 C33 C51 (search for similar items in EconPapers)
Date: 2010-05-29
New Economics Papers: this item is included in nep-ecm and nep-ets
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Citations: View citations in EconPapers (23)

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Related works:
Journal Article: Econometric Analysis of High Dimensional VARs Featuring a Dominant Unit (2013)
Working Paper: Econometric Analysis of High Dimensional VARs Featuring a Dominant Unit (2010)
Working Paper: Econometric analysis of high dimensional VARs featuring a dominant unit (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:cam:camdae:1024

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