A note on the uniform laws for dependent processes via coupling

Authors
Citation
M. Peligrad, A note on the uniform laws for dependent processes via coupling, J THEOR PR, 14(4), 2001, pp. 979-988
Citations number
22
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THEORETICAL PROBABILITY
ISSN journal
08949840 → ACNP
Volume
14
Issue
4
Year of publication
2001
Pages
979 - 988
Database
ISI
SICI code
0894-9840(200110)14:4<979:ANOTUL>2.0.ZU;2-4
Abstract
In this note we investigate the coupling of a class of dependent sequences with an independent one having the same marginal distributions. This method is then used to prove that a uniform law of averages for this class holds if a similar law holds for the associated independent sequence.