A Nonparametric Distribution-Free Test for Serial Independence of Errors Articles uri icon

publication date

  • September 2014

start page

  • 1010

end page

  • 1033


  • 1


  • 34

International Standard Serial Number (ISSN)

  • 0747-4938


  • In this article, we propose a test for the serial independence of unobservable errors in location-scale models. We consider a Hoeffding-Blum-Kiefer-Rosenblat type empirical process applied to residuals, and show that under certain conditions it converges weakly to the same limit as the process based on true errors. We then consider a generalized spectral test applied to estimated residuals, and get a test that is asymptotically distribution-free and powerful against any type of pairwise dependence at all lags. Some Monte Carlo simulations validate our theoretical findings.


  • Economics


  • empirical processes; generalized spectral test; location-scale model; parameter estimation uncertainty; serial dependence; unobservable errors.