This paper provides locally optimal pseudo-Gaussian and rank-based tests for<br/>the cointegration rank in linear cointegrated error-correction models with i.i.d.<br/>elliptical innovations. The proposed tests are asymptotically distribution-free,<br/>hence their validity does not depend on the actual...

Abstract This paper considers optimal unit root tests for a Gaussian cross-sectionally independent heterogeneous panel with incidental intercepts and heterogeneous alternatives generated by random perturbations. We derive the (asymptotic and local) power envelope for two models: an auxiliary...