The well-known Meixner class (Meixner, 1934) of probabilities on R has been recently extended to R^d (Pommeret, 1996). This generalized Meixner class corresponds to the simple quadratic natural exponential families charaterized by Casalis (1996). Following Lancaster (1975), we offer a...

In this paper, we describe and compare three methods that can be used in forecasting chaotic time series. We simulate four well known chaos and apply the methods developed here. We discuss the existence of measure noise and structural noise and their impact on predictions. Particular attention...

In this paper we are interested by an analytical approach to identify chaotic systems when there is noise. We precise the estimators we can use to identify a chaos. We show the behaviour of these estimators in presence of noise. We make simulations to illustrate the approach we consider all...

In this paper we review different approaches that we can use to identify real data. We recall classical methods used from a nonparametric point of view for stochastic data. Then we use the same methods in a deterministic context. We precise what kind of hypotheses we need to estimate and...

This paper exploits an unusual policy reform that had the effect of reducing the direct cost of schooling in Ireland in the late 1960's. This gave rise to an increased level of schooling but with effects that vary substantially across family background. This interaction of educational reform and...

This paper proposes a systematic framework for analyzing the dynamic effects of permanent and transitory shocks on a system of "n" economic variables.

This paper condiders an extension of Tran Van Hoa's family of 2SHI (two stage hierarchical information) estimators for the coefficient vector of a linear regression model and derives the conditions for the dominance of 2SHI estimator over the OLS and Stein rule estimators under a Generalised...

We consider multicointegration in the sense of Granger and Lee (1990), that is, the cumulated equilibrium error cointegrates with the process itself. It is shown, that if the process is given by the cointegrated VAR model for I(1) variables, then multicointegration cannot occur. If, however, the...

In order to have references for discussing mathematical menus in political science, I review the most common types of mathematical formulae used in physics and chemistry, as well as some mathematical advances in economics. Several issues appear relevant: variables should be well defined and...