Engineering Cluster, Singapore Institute of Technology, 10 Dover Drive, Singapore 138683, Singapore.
Theoretical Physics Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam.
Phys Rev E. 2017 Dec;96(6-1):062303. doi: 10.1103/PhysRevE.96.062303. Epub 2017 Dec 4.
In the present study, we have investigated the Allison mixture, a variant of the Parrondo's games where random mixing of two random sequences creates autocorrelation. We have obtained the autocorrelation function and mutual entropy of two elements. Our analysis shows that the mutual information is nonzero even if two distributions have identical average values. We have also considered the two-envelope problem and solved for its exact probability distribution.
在本研究中，我们研究了 Allison 混合物，这是 Parrondo 游戏的一种变体，其中两个随机序列的随机混合会产生自相关性。我们得到了两个元素的自相关函数和互信息。我们的分析表明，即使两个分布的平均值相同，互信息也不为零。我们还考虑了双信封问题，并求解了其精确的概率分布。
