Unit root bootstrap tests under infinite variance


Marta Moreno, Department of Statistics, Universidad Carlos III de Madrid, 1263, Madrid, 28903, Spain.


This article presents a family of new tests for unit roots based on M-estimators. Their robustness makes them very appealing when working with distributions that have infinite variance or heavy tails. These tests are completely automatic regardless of the complex distributions of this kind of estimators because the critical values are approximated using bootstrap, no additional parameter has to be estimated and the results obtained are very good in small samples. An exhaustive Monte Carlo study shows the high performance of these tests compared with others proposed in the literature when the variance is infinite.