Reduced-Rank Matrix Autoregressive Models: A Medium $N$ Approach
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- Cubadda, Gianluca & Guardabascio, Barbara & Hecq, Alain, 2017.
"A vector heterogeneous autoregressive index model for realized volatility measures,"
International Journal of Forecasting, Elsevier, vol. 33(2), pages 337-344.
- Cubadda, G. & Guardabascio, B. & Hecq, A.W., 2015. "A Vector Heterogeneous Autoregressive Index model for realized volatility measures," Research Memorandum 033, Maastricht University, Graduate School of Business and Economics (GSBE).
- Gianluca Cubadda & Barbara Guardabascio & Alain Hecq, 2016. "A Vector Heterogeneous Autoregressive Index Model for Realized Volatily Measures," CEIS Research Paper 391, Tor Vergata University, CEIS, revised 23 Jul 2016.
- Vahid, F & Engle, Robert F, 1993. "Common Trends and Common Cycles," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(4), pages 341-360, Oct.-Dec..
- Forni, Mario & Lippi, Marco, 2001.
"The Generalized Dynamic Factor Model: Representation Theory,"
Econometric Theory, Cambridge University Press, vol. 17(6), pages 1113-1141, December.
- Lippi, Marco & Forni, Mario, 2000. "The Generalized Dynamic Factor Model: Representation Theory," CEPR Discussion Papers 2509, C.E.P.R. Discussion Papers.
- Monica Billio & Roberto Casarin & Matteo Iacopini & Sylvia Kaufmann, 2023.
"Bayesian Dynamic Tensor Regression,"
Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 41(2), pages 429-439, April.
- Monica Billio & Roberto Casarin & Sylvia Kaufmann & Matteo Iacopini, 2018. "Bayesian Dynamic Tensor Regression," Working Papers 2018:13, Department of Economics, University of Venice "Ca' Foscari".
- Gianluca Cubadda & Alain Hecq, 2022.
"Dimension Reduction for High‐Dimensional Vector Autoregressive Models,"
Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 84(5), pages 1123-1152, October.
- Gianluca Cubadda & Alain Hecq, 2020. "Dimension Reduction for High Dimensional Vector Autoregressive Models," Papers 2009.03361, arXiv.org, revised Feb 2022.
- Gianluca Cubadda & Alain Hecq, 2022. "Dimension Reduction for High Dimensional Vector Autoregressive Models," CEIS Research Paper 534, Tor Vergata University, CEIS, revised 24 Mar 2022.
- Elynn Y. Chen & Jianqing Fan, 2023. "Statistical Inference for High-Dimensional Matrix-Variate Factor Models," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 118(542), pages 1038-1055, April.
- Jushan Bai & Serena Ng, 2002.
"Determining the Number of Factors in Approximate Factor Models,"
Econometrica, Econometric Society, vol. 70(1), pages 191-221, January.
- Jushan Bai & Serena Ng, 2000. "Determining the Number of Factors in Approximate Factor Models," Econometric Society World Congress 2000 Contributed Papers 1504, Econometric Society.
- Jushan Bai & Serena Ng, 2000. "Determining the Number of Factors in Approximate Factor Models," Boston College Working Papers in Economics 440, Boston College Department of Economics.
- Kock, Anders Bredahl & Callot, Laurent, 2015.
"Oracle inequalities for high dimensional vector autoregressions,"
Journal of Econometrics, Elsevier, vol. 186(2), pages 325-344.
- Anders Bredahl Kock & Laurent A.F. Callot, 2012. "Oracle Inequalities for High Dimensional Vector Autoregressions," CREATES Research Papers 2012-16, Department of Economics and Business Economics, Aarhus University.
- Cubadda, Gianluca & Guardabascio, Barbara, 2019.
"Representation, estimation and forecasting of the multivariate index-augmented autoregressive model,"
International Journal of Forecasting, Elsevier, vol. 35(1), pages 67-79.
- Gianluca Cubadda & Barbara Guardabascio, 2017. "Representation, Estimation and Forecasting of the Multivariate Index-Augmented Autoregressive Model," CEIS Research Paper 397, Tor Vergata University, CEIS, revised 13 Jul 2018.
- Cubadda, Gianluca & Hecq, Alain & Palm, Franz C., 2009.
"Studying co-movements in large multivariate data prior to multivariate modelling,"
Journal of Econometrics, Elsevier, vol. 148(1), pages 25-35, January.
- Gianluca Cubadda & Alain Hecq & Franz C. Palm, 2008. "Studying Co-Movements in Large Multivariate Data Prior to Multivariate Modelling," CEIS Research Paper 125, Tor Vergata University, CEIS, revised 14 Jul 2008.
- Connor, Gregory & Korajczyk, Robert A, 1993. "A Test for the Number of Factors in an Approximate Factor Model," Journal of Finance, American Finance Association, vol. 48(4), pages 1263-1291, September.
- Wang, Di & Zheng, Yao & Li, Guodong, 2024. "High-dimensional low-rank tensor autoregressive time series modeling," Journal of Econometrics, Elsevier, vol. 238(1).
- Diebold, Francis X. & Yilmaz, Kamil, 2015. "Financial and Macroeconomic Connectedness: A Network Approach to Measurement and Monitoring," OUP Catalogue, Oxford University Press, number 9780199338306.
- Alain Hecq & Franz C. Palm & Jean‐Pierre Urbain, 2000. "Permanent‐transitory Decomposition in Var Models With Cointegration and Common Cycles," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 62(4), pages 511-532, September.
- Carriero, Andrea & Kapetanios, George & Marcellino, Massimiliano, 2016.
"Structural analysis with Multivariate Autoregressive Index models,"
Journal of Econometrics, Elsevier, vol. 192(2), pages 332-348.
- Marcellino, Massimiliano & Kapetanios, George & Carriero, Andrea, 2015. "Structural Analysis with Multivariate Autoregressive Index Models," CEPR Discussion Papers 10801, C.E.P.R. Discussion Papers.
- Rong Chen & Dan Yang & Cun-Hui Zhang, 2022. "Factor Models for High-Dimensional Tensor Time Series," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 117(537), pages 94-116, January.
- repec:bla:obuest:v:62:y:2000:i:4:p:511-32 is not listed on IDEAS
- Wang, Dong & Liu, Xialu & Chen, Rong, 2019. "Factor models for matrix-valued high-dimensional time series," Journal of Econometrics, Elsevier, vol. 208(1), pages 231-248.
- Gianluca Cubadda & Alain Hecq, 2020.
"Dimension Reduction for High Dimensional Vector Autoregressive Models,"
Papers
2009.03361, arXiv.org, revised Feb 2022.
- Gianluca Cubadda & Alain Hecq, 2022. "Dimension Reduction for High Dimensional Vector Autoregressive Models," CEIS Research Paper 534, Tor Vergata University, CEIS, revised 24 Mar 2022.
- Engle, Robert F & Kozicki, Sharon, 1993.
"Testing for Common Features,"
Journal of Business & Economic Statistics, American Statistical Association, vol. 11(4), pages 369-380, October.
- Robert F. Engle & Sharon Kozicki, 1990. "Testing For Common Features," NBER Technical Working Papers 0091, National Bureau of Economic Research, Inc.
- S. Yaser Samadi & Wiranthe B. Herath, 2023. "Reduced-rank Envelope Vector Autoregressive Models," Papers 2309.12902, arXiv.org.
- Elynn Y. Chen & Ruey S. Tsay & Rong Chen, 2020. "Constrained Factor Models for High-Dimensional Matrix-Variate Time Series," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 115(530), pages 775-793, April.
- Ledyard Tucker, 1966. "Some mathematical notes on three-mode factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 31(3), pages 279-311, September.
- Di Wang & Yao Zheng & Heng Lian & Guodong Li, 2022. "High-Dimensional Vector Autoregressive Time Series Modeling via Tensor Decomposition," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 117(539), pages 1338-1356, September.
- James H. Stock & Mark W. Watson, 1989.
"New Indexes of Coincident and Leading Economic Indicators,"
NBER Chapters, in: NBER Macroeconomics Annual 1989, Volume 4, pages 351-409,
National Bureau of Economic Research, Inc.
- Stock, J.H. & Watson, M.W., 1989. "New Indexes Of Coincident And Leading Economic Indicators," Papers 178d, Harvard - J.F. Kennedy School of Government.
- Chen, Rong & Xiao, Han & Yang, Dan, 2021. "Autoregressive models for matrix-valued time series," Journal of Econometrics, Elsevier, vol. 222(1), pages 539-560.
- Engle, Robert F & Kozicki, Sharon, 1993. "Testing for Common Features: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(4), pages 393-395, October.
- Gianluca Cubadda & Marco Mazzali, 2024.
"The vector error correction index model: representation, estimation and identification,"
The Econometrics Journal, Royal Economic Society, vol. 27(1), pages 126-150.
- Gianluca Cubadda & Marco Mazzali, 2023. "The Vector Error Correction Index Model: Representation, Estimation and Identification," CEIS Research Paper 556, Tor Vergata University, CEIS, revised 04 Apr 2023.
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This paper has been announced in the following NEP Reports:- NEP-ECM-2024-09-02 (Econometrics)
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