Mixing properties of a class of Bernoulli-processes
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- by Doris Fiebig PDF
- Trans. Amer. Math. Soc. 338 (1993), 479-493 Request permission
Abstract:
We prove that stationary very weak Bernoulli processes with rate $O(1/n)\;({\text {VWB}} O(1/n))$ are strictly very weak Bernoulli with rate $O(1/n)$. Furthermore we discuss the relation between ${\text {VWB}}\;O(1/n)$ and the classical mixing properties for countable state processes. In particular, we show that ${\text {VWB}} O(1/n)$ implies $\phi$-mixing.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 338 (1993), 479-493
- MSC: Primary 60G10; Secondary 28D05
- DOI: https://doi.org/10.1090/S0002-9947-1993-1102220-0
- MathSciNet review: 1102220