Des statistiques liées à la fonction de Green du laplacien

In this Note, we show that an invariant test of uniformity for a sample from a compact 2-point homogeneous space can be based on the Green function of the Laplacian. The three celebrated Watson, Cramér-von-Mises and Anderson-Darling statistics are shown to be particular cases of this family of statistics. To cite this article: J.-R. Pycke, C. R. Acad. Sci. Paris, Ser. I 341 (2005).