The Annals of Probability

Equivalent Mixing Conditions for Random Fields

Richard C. Bradley

Full-text: Open access

Abstract

For strictly stationary random fields indexed by $\mathbb{R}^d$ or $\mathbb{Z}^d$, certain versions of the "strong mixing" condition are equivalent to corresponding versions of the "$\rho$-mixing" condition.

Article information

Source
Ann. Probab., Volume 21, Number 4 (1993), 1921-1926.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176989004

Digital Object Identifier
doi:10.1214/aop/1176989004

Mathematical Reviews number (MathSciNet)
MR1245294

Zentralblatt MATH identifier
0793.60053

JSTOR
links.jstor.org

Subjects
Primary: 60G60: Random fields
Secondary: 60G10: Stationary processes

Keywords
Strictly stationary random field strong mixing $\rho$-mixing

Citation

Bradley, Richard C. Equivalent Mixing Conditions for Random Fields. Ann. Probab. 21 (1993), no. 4, 1921--1926. doi:10.1214/aop/1176989004. https://projecteuclid.org/euclid.aop/1176989004


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