Sophie A. Ladoucette

What is the Best Approach to Measure the Interdependence between Different Markets

In order to measure the interdependence between different markets, we investigate and compare different measures of dependence including cross-correlation, conditional correlation, concordance and correlation in tails. In the latter case, we use the notion of copula and we define two kinds of diagnoses which enable us to adjust the joint empirical tail distribution in the case of two or three markets for the best copulas. In particular, this approach makes it possible to understand the evolution of the interdependence of more than two markets in the tails, in particular, when extremal values (which correspond to a shock) induce some turmoil in the evolution of the markets.

Non-mixing properties of long memory processes

In this Note, we provide a new statistical approach concerning some long memory processes, the k-factor Gegenbauer processes, in proving that they satisfy some non-mixing properties.

Extreme values of particular non-linear processes

We investigate the asymptotic behavior of the maxima of a general class of deterministic chaotic processes –including the Tent map and the Logistic map -, of noisy chaotic processes, and of the Gaussian long memory k-factor Genebauer processes.