Open Access
October, 1989 Tail Triviality for Sums of Stationary Random Variables
H. C. P. Berbee, W. Th. F. Den Hollander
Ann. Probab. 17(4): 1635-1645 (October, 1989). DOI: 10.1214/aop/1176991177

Abstract

We study tail $\sigma$-fields and loss of memory associated with sums of stationary integer-valued random variables. An application concerns convergence in distribution of interarrival times in zero-one sequences.

Citation

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H. C. P. Berbee. W. Th. F. Den Hollander. "Tail Triviality for Sums of Stationary Random Variables." Ann. Probab. 17 (4) 1635 - 1645, October, 1989. https://doi.org/10.1214/aop/1176991177

Information

Published: October, 1989
First available in Project Euclid: 19 April 2007

zbMATH: 0696.60038
MathSciNet: MR1048949
Digital Object Identifier: 10.1214/aop/1176991177

Subjects:
Primary: 60F20
Secondary: 28D05 , 28D20 , 60G10 , 60J15

Keywords: coupling , Entropy , interarrival times , loss of memory , random walk with stationary increments , strongly aperiodic , Tail $\sigma$-field for sums , zero-two theorem

Rights: Copyright © 1989 Institute of Mathematical Statistics

Vol.17 • No. 4 • October, 1989
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