Bootstrap Sequential Tests to Determine the Order of Integration of Individual Units in A Time Series Panel
Correspondence to: Stephan Smeekes, Department of Quantitative Economics, Maastricht University, PO Box 616, 6200 MD, Maastricht, The Netherlands.
Abstract
We propose an approach to investigate the unit root properties of individual units in a time series panel or large multivariate time series, based on testing user‐defined increasing proportions of hypothesized I(0) units sequentially. Asymptotically valid critical values are obtained using the block bootstrap. This sequential approach has an advantage over multiple testing approaches as it can exploit the (cross‐sectional) dimension of the system, which the multiple testing approaches cannot do effectively. A simulation study and an empirical application are conducted to analyse the relative performance of the approach in comparison with multiple testing approaches. These demonstrate the usefulness of our method, in particular in systems with a relatively small time dimension.
Citing Literature
Number of times cited according to CrossRef: 11
- Stephan Smeekes, Etienne Wijler, Unit Roots and Cointegration, Macroeconomic Forecasting in the Era of Big Data, 10.1007/978-3-030-31150-6_17, (541-584), (2020).
- Thomas B. Götz, Thomas A. Knetsch, Google data in bridge equation models for German GDP, International Journal of Forecasting, 10.1016/j.ijforecast.2018.08.001, 35, 1, (45-66), (2019).
- Hande Karabiyik, Franz C. Palm, Jean-Pierre Urbain, Econometric Analysis of Panel Data Models with Multifactor Error Structures, Annual Review of Economics, 10.1146/annurev-economics-063016-104338, 11, 1, (495-522), (2019).
- Hande Karabiyik, Jean‐Pierre Urbain, Joakim Westerlund, CCE estimation of factor‐augmented regression models with more factors than observables, Journal of Applied Econometrics, 10.1002/jae.2661, 34, 2, (268-284), (2018).
- Gordon L. Brady, Cosimo Magazzino, Government debt in EMU countries, The Journal of Economic Asymmetries, 10.1016/j.jeca.2018.e00096, 18, (e00096), (2018).
- Saeid Mahdavi, Joakim Westerlund, Subnational government tax revenue capacity and effort convergence: New evidence from sequential unit root tests, Economic Modelling, 10.1016/j.econmod.2018.03.016, 73, (174-183), (2018).
- Stephan Smeekes, Joakim Westerlund, Robust block bootstrap panel predictability tests, Econometric Reviews, 10.1080/07474938.2018.1536102, (1-19), (2018).
- Roselyne Joyeux, Ronald D. Ripple, Raymond Li, Income and Energy Consumption in Asia A Panel Cointegration Analysis with Common Factors, SSRN Electronic Journal, 10.2139/ssrn.3028771, (2017).
- Pavel Trunin, Sergei Germanovich Sinelnikov-Murylev, Yury Perevyshin, Dmitry Egorov, (Analysis of the Regional Differentiation of Inflation), SSRN Electronic Journal, 10.2139/ssrn.2920571, (2017).
- Mauro Costantini, Claudio Lupi, Identifying stationary series in panels: A Monte Carlo evaluation of sequential panel selection methods, Economics Letters, 10.1016/j.econlet.2015.11.011, 138, (9-14), (2016).
- Johan Blomquist, Joakim Westerlund, Panel bootstrap tests of slope homogeneity, Empirical Economics, 10.1007/s00181-015-0978-z, 50, 4, (1359-1381), (2015).
