In this paper we analyse the problem of the modelling of individual transitions in presence of an incomplete sampling scheme.

This paper proposes to use a semi parametric regression method, named Sliced Inverse Regression (SIR hereafter), to analyse ambulatory blood pressure monitoring data.

Let X1,X2,...Xn be i.i.d. N-dimensional random variables having an unknown support of probability density denoted G; we suppose that G belongs to a functional class "g" of compact sets with smooth upper surface called boundary fragments. The problem consists in testing the hypotheses G=Go...

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...