A topological criterion for hypothesis testing
The authors raise and answer an interesting statistical question; namely is it possible, with enough data, to distinguish between two mutually exclusive hypotheses. They prove a sequence of increasingly more general theorems that provide conditions for when such decisions are possible. They begin with hypotheses concerning means and independent, identically distributed random variables and end with a proposition about hypotheses concerning Markov chains.
scientific article; zbMATH DE number 597407