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Séminaire Images Optimisation et Probabilités

Sharp large deviations for the empirical correlation coefficient

Thi Kim Tien Truong

( IDP, Orléans )

Salle de Conférences

le 04 avril 2019 à 11:00

We consider the correlation coefficients of two samples. The main goal is to establish the sharp large deviations (SLD) for empirical correlation coefficients in two general cases: Spherical and Gaussian distributions. Moreover, we can obtain the asymptotic expansion of the SLD at any order development.