Speeds of Convergence and Asymptotic Expansions in the Central Limit Theorem: A Treatment by Operators
Sweeting, T. J.
Ann. Probab., Tome 8 (1980) no. 6, p. 281-297 / Harvested from Project Euclid
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Speeds of convergence to normality and asymptotic expansions for sums of independent random vectors in $\mathbb{R}^k, k \geqslant 1$ are investigated using the method of operators. Existing results are improved and some new results obtained. In particular, asymptotic expansions for smooth functions are derived.
Publié le : 1980-04-14
Classification:  Multidimensional central limit theorem,  speeds of convergence,  asymptotic expansions,  60F05 
@article{1176994777,
     author = {Sweeting, T. J.},
     title = {Speeds of Convergence and Asymptotic Expansions in the Central Limit Theorem: A Treatment by Operators},
     journal = {Ann. Probab.},
     volume = {8},
     number = {6},
     year = {1980},
     pages = { 281-297},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176994777}
}

Sweeting, T. J. Speeds of Convergence and Asymptotic Expansions in the Central Limit Theorem: A Treatment by Operators. Ann. Probab., Tome 8 (1980) no. 6, pp.  281-297. http://gdmltest.u-ga.fr/item/1176994777/