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...

This paper examines causality between the series of returns and transaction volumes in high frequency data. The dynamics of both series is restricted to transitions between a finite number of states. Depending on the state selection criteria, this approach approximates the dynamics of varying...

High frequency transaction prices exhibit two major characteristics: they are discrete in level and only exist at random transaction dates. In this paper, we seek to model transaction price dynamics, taking into account these two features. We specify the transaction price process as a Markov...

We consider dynamic models for analysing the holding rates of some durable goods, and especially for describing how these rates react to some modifications of prices. The feature of this paper is the introduction of individual heterogeneity. It allows to examine how the good will diffuse among...