Modeling high-dimensional unit-root time series

Zhaoxing Gao and Ruey S. Tsay

International Journal of Forecasting, 2021, vol. 37, issue 4, 1535-1555

Abstract: This paper proposes a new procedure to build factor models for high-dimensional unit-root time series by postulating that a p-dimensional unit-root process is a nonsingular linear transformation of a set of unit-root processes, a set of stationary common factors that are dynamically dependent, and some idiosyncratic white noise components. For the stationary components, we assume that the factor process captures the temporal dependence, and that the idiosyncratic white noise series explains, jointly with the factors, the cross-sectional dependence. The estimation of nonsingular linear loading spaces is carried out in two steps. First, we use an eigenanalysis of a nonnegative definite matrix of the data to separate the unit-root processes from the stationary ones, and a modified method to specify the number of unit roots. We then employ another eigenanalysis and a projected principal component analysis to identify the stationary common factors and the white noise series. We propose a new procedure to specify the number of white noise series and, hence, the number of stationary common factors. We establish asymptotic properties of the proposed method for both fixed and diverging p as the sample size n increases, and use a simulation and a real example to demonstrate the performance of the proposed method in finite samples. We also compare our method with some commonly used ones in the literature regarding the forecast ability of the extracted factors, and find that the proposed method performs well in out-of-sample forecasting of a 508-dimensional PM2.5 series in Taiwan.

Keywords: Common factor; Cointegration; Eigenanalysis; Factor model; High-dimensional time series; Unit root (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0169207020301497
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:intfor:v:37:y:2021:i:4:p:1535-1555

DOI: 10.1016/j.ijforecast.2020.09.008

Access Statistics for this article

International Journal of Forecasting is currently edited by R. J. Hyndman

More articles in International Journal of Forecasting from Elsevier
Bibliographic data for series maintained by Catherine Liu ().