Speeds of Convergence for the Multidimensional Central Limit Theorem
Sweeting, T. J.
Ann. Probab., Tome 5 (1977) no. 6, p. 28-41 / Harvested from Project Euclid
Speeds of convergence to normality for sums of independent and identically distributed random vectors in $\mathbb{R}^k, k \geqq 1$, are investigated using the method of operators. Results obtained improve and extend existing results on speeds of convergence for the expectations of both bounded and certain unbounded Borel measurable functions, and nonuniform convergence rates.
Publié le : 1977-02-14
Classification:  Multidimensional central limit theorem,  speeds of convergence,  60F05
@article{1176995888,
     author = {Sweeting, T. J.},
     title = {Speeds of Convergence for the Multidimensional Central Limit Theorem},
     journal = {Ann. Probab.},
     volume = {5},
     number = {6},
     year = {1977},
     pages = { 28-41},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176995888}
}
Sweeting, T. J. Speeds of Convergence for the Multidimensional Central Limit Theorem. Ann. Probab., Tome 5 (1977) no. 6, pp.  28-41. http://gdmltest.u-ga.fr/item/1176995888/