Non-parametric tests in AR models with applications to climatic data

New non-parametric tests of the order of the autoregression in a time series model were recently developed by Hallin and Jurečková. The main tool of these tests is the autoregression rank scores. After a brief description of the tests, their performance on simulated AR(1) time series is illustrated with the normal, Laplace and Cauchy innovation densities and they are applied to series of daily maximum temperatures recorded in three stations in south Moravia. © 1997 John Wiley & Sons, Ltd.