finding sufficient evidence for cointegration in a first step. The extent of oversizing the test for long-run asymmetry … depends inversely on the power of the primary cointegration test. Hence, tests for long-run asymmetry become invalid in cases …-run asymmetry are generally oversized if the threshold parameter is estimated by conditional least squares and show that bootstrap …

functionals of kernel-type estimators (1 < p < ∞) and is easy to implement in general, mainly due to its recourse to the bootstrap … method. The bootstrap procedure is based on nonparametric bootstrap applied to kernel-based test statistics, with estimated … "contact sets". We provide regularity conditions under which the bootstrap test is asymptotically valid uniformly over a large …