Versik processes and very weak Bernoulli processes with summable rates are independent

Dehling, Herold; Denker, Manfred; Philipp, Walter

doi:10.1090/S0002-9939-1984-0746101-0

Versik processes and very weak Bernoulli processes with summable rates are independent
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by Herold Dehling, Manfred Denker and Walter Philipp PDF

Proc. Amer. Math. Soc. 91 (1984), 618-624 Request permission

Abstract:

We show that very weak Bernoulli processes and Versik processes having dependence rates $o(1/n)$ are independent or $2$-dependent respectively. The borderline case where the rate is $O(1/n)$ is discussed in some detail.

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