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August, 1975 A Functional Central Limit Theorem for Stationary Random Fields
Chandrakant M. Deo
Ann. Probab. 3(4): 708-715 (August, 1975). DOI: 10.1214/aop/1176996310

Abstract

In this paper, the concept of $\varphi$-mixing is extended to random fields, and a central limit theorem analogous to Theorem 20.1 of Billingsley (Convergence of Probability Measures, Wiley (1968)) is obtained for stationary, $\varphi$-mixing random fields.

Citation

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Chandrakant M. Deo. "A Functional Central Limit Theorem for Stationary Random Fields." Ann. Probab. 3 (4) 708 - 715, August, 1975. https://doi.org/10.1214/aop/1176996310

Information

Published: August, 1975
First available in Project Euclid: 19 April 2007

zbMATH: 0333.60028
MathSciNet: MR375410
Digital Object Identifier: 10.1214/aop/1176996310

Subjects:
Primary: 60G10
Secondary: 60F05

Keywords: central limit theorem , invariance principle , stationary random fields

Rights: Copyright © 1975 Institute of Mathematical Statistics

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Vol.3 • No. 4 • August, 1975
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