Von Mises' definition of random sequences reconsidered

Journal of Symbolic Logic 52 (3):725-755 (1987)
Abstract
We review briefly the attempts to define random sequences $$ . These attempts suggest two theorems: one concerning the number of subsequence selection procedures that transform a random sequence into a random sequence ; the other concerning the relationship between definitions of randomness based on subsequence selection and those based on statistical tests $$
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DOI 10.2307/2274360
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Measure and Category in Effective Descriptive Set Theory.Alexander S. Kechris - 1973 - Annals of Mathematical Logic 5 (4):337-384.

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