THE LYAPOUNOV CENTRAL-LIMIT-THEOREM FOR FACTORIZABLE ARRAYS

Authors
WESOLOWSKI J
Citation
J. Wesolowski, THE LYAPOUNOV CENTRAL-LIMIT-THEOREM FOR FACTORIZABLE ARRAYS, Proceedings of the American Mathematical Society, 122(2), 1994, pp. 565-574
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
122
Issue
2
Year of publication
1994
Pages
565 - 574
Database
ISI
SICI code
0002-9939(1994)122:2<565:TLCFFA>2.0.ZU;2-J
Abstract
A sort of the Lyapounov central limit theorem for row-wise factorizabl e triangular arrays is obtained. Also a new version of the classical L yapounov theorem for independent random variables, being a tool in the proof of the main result, seems to be of independent interest.