THE ACCURACY OF GAUSSIAN APPROXIMATIONS IN NILPOTENT LIE-GROUPS

Authors
Citation
V. Bentkus et G. Pap, THE ACCURACY OF GAUSSIAN APPROXIMATIONS IN NILPOTENT LIE-GROUPS, Journal of theoretical probability, 9(4), 1996, pp. 995-1017
Citations number
26
Categorie Soggetti
Statistic & Probability","Statistic & Probability
ISSN journal
08949840
Volume
9
Issue
4
Year of publication
1996
Pages
995 - 1017
Database
ISI
SICI code
0894-9840(1996)9:4<995:TAOGAI>2.0.ZU;2-U
Abstract
We consider the Central Limit Theorem with Gaussian limit distribution s in stratified nilpotent Lie groups. We obtain estimates of the rate of convergence and Edgeworth expansions for expectations of smooth fun ctionals.