Journal
STATISTICS & PROBABILITY LETTERS
Volume 61, Issue 1, Pages 31-40Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0167-7152(02)00291-2
Keywords
central limit theorem; almost sure central limit theorem; weakly dependent random variables; Markov chains
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We prove the almost sure central limit theorem for random variables fulfilling a general condition of dependence due to Doukhan and Louhichi (Stochastic Process. Appl. 84 (1999) 313). Our main tool for the proofs is a result from Peligrad and Shao (Statist. Probab. Lett. 22 (1995) 131). (C) 2003 Elsevier Science B.V. All rights reserved.
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