In this paper, the authors propose a simple procedure for testing the existence of common roots in lag polynomials. They first show, by using a generalized Bezout property, that this hypothesis can be put under a "mixed" form that is linear with respect to the auxiliary parameters and with...

In this paper we are interested in inference problems on the matrix of coefficients in a multivariate linear model; in particular we consider tests on the kernel, the range and the rank of this matrix. Various test procedures are explicited and compared: (pseudo) likelihood ratio, Wald (or...

The aim of this paper is to characterize the one-dimensional stochastic differential equations, for which the eigenfunctions of the infinitesimal generator are polynomials in y. Affine transformations of the Ornstein-Uhlenbeck process, the Cox-Ingersoll-Ross process and the Jacobi process belong...

In this paper we propose causality measures based on the Kullback Information Criterion. These causality measures are applicable in a general context which contains, as special cases, the stationary autoregressive case, considered by GEWEKE, and qualitative models. Estimators of these measures...