AI 中文总结
该研究构造了两类平稳遍历二元过程分布族，证明存在弱渐近一致检验但无强渐近一致检验，结合多种编码与马尔可夫链完成构造，否定了Ryabko猜想的渐近一致性分支。
AI 中文摘要
我们构造了两个固定且不相交的平稳遍历二元过程分布族$H_0$和$H_1$，对其存在弱渐近一致检验，但不存在强渐近一致检验。该构造结合了同步二元悬挂码、独立同分布标记过程，以及可数多个独立的缓慢切换两状态马尔可夫链，特别地，这否定了Ryabko猜想的渐近一致性分支。
英文摘要
We construct two fixed disjoint families $H_0,H_1$ of stationary ergodic binary process distributions for which a weakly asymptotically consistent test exists, but no strongly asymptotically consistent test exists. The construction combines a synchronizing binary suspension code, an independent i.i.d marker process, and countably many independent slowly switching two-state Markov chains. In particular, this disproves the asymptotic-consistency branch of a conjecture of Ryabko.
