Abstract
We study optimality of unit root tests in a semiparametric panel setting with both large time-series and cross-sectional dimension. While, with finite cross-sectional dimension, the limit experiments are locally asymptotically Brownian functional (LABF), we find the classical locally asymptotically normal (LAN) structure with large cross-sectional dimension. This leads to an upper bound for the power of tests using sequential asymptotics. We propose a hybrid rank-based test, based on cross-sectional ranks per time unit, that is point optimal. We corroborate our theoretical results with a Monte Carlo study.
| Original language | English |
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| Title of host publication | Recent Advances in Econometrics and Statistics |
| Subtitle of host publication | Festschrift in Honour of Marc Hallin |
| Editors | Matteo Barigozzi, Siegfried Hörmann, Davy Paindaveine |
| Publisher | Springer |
| Pages | 105-125 |
| Number of pages | 21 |
| ISBN (Electronic) | 978-3-031-61853-6 |
| ISBN (Print) | 978-3-031-61852-9, 978-3-031-61855-0 |
| DOIs | |
| Publication status | Published - 29 Oct 2024 |