Geodesic
Lattice point problems and the central limit theorem in Euclidean spaces
Documenta mathematica, ICM Berlin 1998, Vol. III (1998), pp. 245-255.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

A number of problems in probability and statistics lead to questions about the actual error in the asymptotic approximation of nonlinear functions of the observations. Recently new methods have emerged which provide optimal bounds for statistics of quadratic type. These tools are adaptions of methods which provide sharp bounds in some high dimensional lattice point remainder problems and solve some problems concerning the distribution of values of quadratic forms.
Classification : 60F05, 62E20, 11P21
Keywords: Edgeworth expansion, $U$-statistics, ellipsoids, irrational quadratic forms 
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     author = {G\"otze, F.},
     title = {Lattice point problems and the central limit theorem in {Euclidean} spaces},
     journal = {Documenta mathematica},
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     volume = {ICM Berlin 1998, Vol. III},
     year = {1998},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_1998__S9__a53/}
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Götze, F. Lattice point problems and the central limit theorem in Euclidean spaces. Documenta mathematica, ICM Berlin 1998, Vol. III (1998), pp. 245-255. http://geodesic.mathdoc.fr/item/DOCMA_1998__S9__a53/