Von Mises' definition of random sequences reconsidered
Michiel van Lambalgen · Journal of Symbolic Logic · 1987
Abstract We review briefly the attempts to define random sequences (§0). These attempts suggest two theorems: one concerning the number of subsequence selection procedures that transform a random sequence into a random sequence (§§1–3 and 5); the other concerning the relationship between definitions of randomness based on subsequence selection and those based on statistical tests (§4).