We consider the problem of testing whether the observations X1, · · ·, Xn of a time series are independent with unspecified (possibly nonidentical) distributions symmetric about a common known median. Various bounds on the distributions of serial correlation coefficients are proposed:...

We propose methods for testing hypothesis of non-causality at various horizons, as defined in Dufour and Renault (1998, Econometrica). We study in detail the case of VAR models and we propose linear methods based on running vector autoregressions at different horizons. While the hypotheses...

The paper presents the research results on detection of structural breaks in copula models of multivariate time-series. A nonparametric method of structural break identification and estimation is used and its asymptotic characteristics (probabilities of the I and II-type errors, probability of...