SPATIAL STATISTICS, CENTRAL LIMIT-THEOREMS FOR MIXING RANDOM-FIELDS AND THE GEOMETRY OF Z(D)

Authors
PERERA G
Citation
G. Perera, SPATIAL STATISTICS, CENTRAL LIMIT-THEOREMS FOR MIXING RANDOM-FIELDS AND THE GEOMETRY OF Z(D), Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 319(10), 1994, pp. 1083-1088
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
319
Issue
10
Year of publication
1994
Pages
1083 - 1088
Database
ISI
SICI code
0764-4442(1994)319:10<1083:SSCLFM>2.0.ZU;2-N
Abstract
An asymptotic procedure to compare the mean of two samples of dependen t data taken from two subsets of Z(d) is given. It is shown that the g eometry of the subsets has a relevant influence on the problem. Our me thod is based on some results concerning the existence of weak limits for certain sequences of random vectors.