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April, 1991 On the Central Limit Theorem for Markov Chains in Random Environments
Robert Cogburn
Ann. Probab. 19(2): 587-604 (April, 1991). DOI: 10.1214/aop/1176990442

Abstract

A functional central limit theorem is established for Markov chains in random environments under the assumption of existence of a finite invariant, ergodic measure and a mixing condition. These conditions are always satisfied when the state space is finite.

Citation

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Robert Cogburn. "On the Central Limit Theorem for Markov Chains in Random Environments." Ann. Probab. 19 (2) 587 - 604, April, 1991. https://doi.org/10.1214/aop/1176990442

Information

Published: April, 1991
First available in Project Euclid: 19 April 2007

zbMATH: 0733.60038
MathSciNet: MR1106277
Digital Object Identifier: 10.1214/aop/1176990442

Subjects:
Primary: 60F05
Secondary: 60J10 , 60J99

Keywords: central limit theorem , Markov chains in random environments , Mixing

Rights: Copyright © 1991 Institute of Mathematical Statistics

Vol.19 • No. 2 • April, 1991
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