Semiparametric error-correction models for cointegration with trends: Pseudo-Gaussian and optimal rank-based tests of the cointegration rank

This paper provides pseudo-Gaussian and locally optimal rank-based tests for the cointegration rank in linear cointegrated error-correction models with common trends and i.i.d. elliptical innovations. The proposed tests are asymptotically distribution-free, hence their validity does not depend on the actual distribution of the innovations. The proposed rank-based tests depend on the choice of scores, associated with a reference density that can freely be chosen. Under appropriate choices they are achieving the semiparametric efficiency bounds; when based on Gaussian scores, they moreover uniformly dominate their pseudo-Gaussian counterparts. Simulations show that the asymptotic analysis provides an accurate approximation to finite-sample behavior. The theoretical results are based on a complete picture of the asymptotic statistical structure of the model under consideration.

Netspar, Network for Studies on Pensions, Aging and Retirement, is een denktank en kennisnetwerk. Netspar is gericht op een goed geïnformeerd pensioendebat.

MEER OVER NETSPAR


Missie en strategie           •           Netwerk           •           Organisatie           •          Podcasts
Board Brief            •            Werkprogramma 2023-2027           •           Onderzoeksagenda

OVER NETSPAR

Onze partners

B20220412_SPIN_logo+naam_2xPMS_2_voettekst
B20160708_universiteit leiden
B20160708_asr
BPL_Pensioen_logo+pay-off - 1610-1225 v1.1_grijswaarden
B20221103_Zwitserlevengrayscale
Bekijk al onze partners