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Examples of ergodic processes uniquely determined by their two-marginal laws

Authors :
Maurice Courbage
D. Hamdan
Source :
Statistics & Probability Letters. 52:341-345
Publication Year :
2001
Publisher :
Elsevier BV, 2001.

Abstract

We show that the stationary processes associated to some two-cell partitions induced by the irrational rotation of the circle and by Kronecker Gaussian processes are uniquely determined by their two-dimensional marginals.

Subjects

Subjects :
Statistics and Probability
Pure mathematics
Ergodicity
Irrational rotation
Combinatorics
symbols.namesake
Kronecker delta
symbols
Ergodic theory
Statistics, Probability and Uncertainty
Gaussian process
Rotation (mathematics)
Ergodic process
Mathematics
Probability measure

Details

ISSN :
01677152
Volume :
52
Database :
OpenAIRE
Journal :
Statistics & Probability Letters
Accession number :
edsair.doi...........31babd88ecb79cabe0a39e744104dbf1

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