论文标题
在Kontoyiannis的等待时间结果：混合还是脱钩？
On a waiting-time result of Kontoyiannis: mixing or decoupling?
论文作者
论文摘要
我们将较低脱钩的条件引入了对两个相互独立的固定随机过程之间的跨熵的等待时间估计的研究。尽管有关大偏差和统计力学的文献中已经使用了类似的去耦条件，但在信息理论中似乎在很大程度上没有探索。基于Kontoyiannis的结果，即[Kontoyiannis，J。Theor。 Probab。，1998]，并在此结果中替换$ψ$混合条件，以较低的去耦条件，我们大大延长了跨熵的等待时间估计的有效性。
We introduce conditions of lower decoupling to the study of waiting-time estimations of the cross entropy between two mutually independent stationary stochastic processes. Although similar decoupling conditions have been used in the literature on large deviations and statistical mechanics, they appear largely unexplored in information theory. Building on a result of Kontoyiannis, namely Theorem 4 in [Kontoyiannis, J. Theor. Probab., 1998], and replacing the $ψ$-mixing condition in this result with a lower decoupling condition, we considerably extend the validity of waiting-time estimation of cross entropy.
