Generalization and Application of a Result of C. C. Heyde
Michel, R.
Ann. Probab., Tome 10 (1982) no. 4, p. 1066-1068 / Harvested from Project Euclid
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A result of C. C. Heyde, where it is shown that certain rates of convergence (expressed in terms of series conditions) in the CLT for i.i.d. random variables hold true if and only if corresponding moment conditions are fulfilled, is generalized to $k$-dimensional i.i.d. random vectors.
Publié le : 1982-11-14
Classification:  Central limit theorem,  convergence rates,  moment conditions,  60F05 
@article{1176993729,
     author = {Michel, R.},
     title = {Generalization and Application of a Result of C. C. Heyde},
     journal = {Ann. Probab.},
     volume = {10},
     number = {4},
     year = {1982},
     pages = { 1066-1068},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176993729}
}

Michel, R. Generalization and Application of a Result of C. C. Heyde. Ann. Probab., Tome 10 (1982) no. 4, pp.  1066-1068. http://gdmltest.u-ga.fr/item/1176993729/