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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.