asymptotic consistency 1binary processes 1hypothesis testing 1information theory 1markov chains 1stationary ergodic processes 1
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math.ST2026
Independence Is Not Always Consistently Testable
Senhan Yao
We study the problem of testing independence between the coordinate processes of a jointly stationary ergodic binary process from finite observations. We prove that no test is poin…
math.ST2026
Uniform Testability Implies Asymmetric Testability
Senhan Yao
We prove a filtration-level conversion from uniform fixed-time testing to all-sample one-sided error control and uniform future-tail control. Given an adapted deterministic binary…
math.ST2026
Weak but Not Strong Asymptotic Testability
Senhan Yao
The paper constructs two disjoint families of stationary ergodic binary process distributions that admit a weakly asymptotically consistent test but no strongly asymptotically cons…