Von Mises' Definition of Random Sequences Reconsidered

Journal of Symbolic Logic 52 (3):725 - 755 (1987)
We review briefly the attempts to define random sequences $(\S0)$ . These attempts suggest two theorems: one concerning the number of subsequence selection procedures that transform a random sequence into a random sequence ( $\S\S1-3$ and 5); the other concerning the relationship between definitions of randomness based on subsequence selection and those based on statistical tests $(\S4)$.
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