LIMIT-THEOREMS FOR LOGARITHMIC AVERAGES OF RANDOM VECTORS

Citation
I. Berkes et L. Horvath, LIMIT-THEOREMS FOR LOGARITHMIC AVERAGES OF RANDOM VECTORS, Mathematische Nachrichten, 195, 1998, pp. 5-16
Citations number
21
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
0025584X
Volume
195
Year of publication
1998
Pages
5 - 16
Database
ISI
SICI code
0025-584X(1998)195:<5:LFLAOR>2.0.ZU;2-X
Abstract
We prove the strong law of large numbers for logarithmic averages of r andom vectors. We also obtain a strong approximation for logarithmic a verages.