On the Central Limit Theorem for Stationary Mixing Random Fields

A simple proof of a central limit theorem for stationary random fields under mixing conditions is given, generalizing some results obtained by more complicated methods, e.g. Bernstein's method.

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Bibliographic Details
Published in:The Annals of probability 1982-11, Vol.10 (4), p.1047-1050
Main Author: Bolthausen, E.
Format: Article
Language:English
Subjects:
60F05
60G10
60G60
Central limit theorem
Mathematical inequalities
Mathematical theorems
mixing conditions
Random variables
Short Communications
stationary random fields
Steepest descent method
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Description
Summary:A simple proof of a central limit theorem for stationary random fields under mixing conditions is given, generalizing some results obtained by more complicated methods, e.g. Bernstein's method.
ISSN:0091-1798
2168-894X
DOI:10.1214/aop/1176993726