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Cointegrated Solutions of Unit-Root VARs: An Extended Representation Theorem

Mario Faliva, Maria Grazia Zoia

arXiv 21 Feb 2021 · Econometrics · 1 citations (OpenAlex)

arXiv:2102.10626 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper establishes an extended representation theorem for unit-root VARs. A specific algebraic technique is devised to recover stationarity from the solution of the model in the form of a cointegrating transformation. Closed forms of the results of interest are derived for integrated processes up to the 4-th order. An extension to higher-order processes turns out to be within the reach on an induction argument.

Citation extraction

33
references
42
in-text mentions
33
distinct cited
4
self-citations
9,316
main-text words

appendix boundary found by appendix_titled_section at “Appendix A” · 73% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Faliva, M. and Zoia, M. G (2009) Dynamic model analysis: advanced matrix methods and unit-root econometrics representation theorems self0.9285480%
2Dhrymes, P (1971) Distributed lags: problems of formulation and estimation0.64422100%
3Franchi, M. and Paruolo, P (2019) A general inversion theorem for cointegration0.51121100%
4Avrachenkov, K. E., Haviv, M., and Howlett, P. G (2001) Inversion of analytic matrix functions that are singular at the origin0.40511100%
5Banerjee, A., Dolado, J. J., Galbraith, J. W., Hendry, D., et al (1993) Co-integration, error correction, and the econometric analysis of non-stationary data0.40511100%
6Beare, B. K., Seo, J., and Seo, W.-K (2017) Cointegrated linear processes in Hilbert space0.40511100%
7Beare, B. K. and Seo, W.-K (2019) Representation of i (1) and i (2) autoregressive hilbertian processes0.40511100%
8Engle, R. F. and Granger, C. W (1987) Cointegration and error correction: representation and error correction0.40511100%
9Engle, R. and Yoo, B (1991) Cointegrated economic time series: An overview with new results. in engle and granger., eds0.40511100%
10Faliva, M. and Zoia, M. G (2002) On a partitioned inversion formula having useful applications in econometrics self0.40511100%

Showing the top 10 of 33 scored citations.