For EX- and BC-type identification, one-sided error probabilistic inference and reliable frequency identification on sets of functions are introduced. In particular, we relate the one to the other and characterize one-sided error probabilistic inference to exactly coincide with reliable frequency identification, on any setM. Moreover, we show that reliable EX and BC-frequency inference forms a new discrete hierarchy having the breakpoints 1, l/2, l/3, ...
Kinber, E. & Zeugmann, T. (1991). One-sided error probabalistic inductive interface and reliable frequency Identification. Information and Computation, 92(2), 253-284. doi:10.1016/0890-5401(91)90011-P