In this paper we prove two Liapounov's central limit theorems for a sequence of independent p-dimensional random vectors, with mean and variance and covariance matrix ∑n, in cases of both general and uniformly bounded sequence.
@article{urn:eudml:doc:38346, title = {A vectorial expression for Liapounov's central limit theorem.}, journal = {Extracta Mathematicae}, volume = {7}, year = {1992}, pages = {96-98}, mrnumber = {MR1248452}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38346} }
Ardanuy, Ramón; Sánchez, Angel Luis. A vectorial expression for Liapounov's central limit theorem.. Extracta Mathematicae, Tome 7 (1992) pp. 96-98. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38346/