Von Mises' definition of random sequences reconsidered

Journal of Symbolic Logic 52 (3):725-755 (1987)
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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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Michiel Van Lambalgen
University of Amsterdam

Citations of this work

Representation and Invariance of Scientific Structures.Patrick Suppes - 2002 - CSLI Publications (distributed by Chicago University Press).
Randomness Is Unpredictability.Antony Eagle - 2005 - British Journal for the Philosophy of Science 56 (4):749-790.
Probability and Randomness.Antony Eagle - 2016 - In Alan Hájek & Christopher Hitchcock (eds.), The Oxford Handbook of Probability and Philosophy. Oxford, U.K.: Oxford University Press. pp. 440-459.
The Kolmogorov complexity of random reals.Liang Yu, Decheng Ding & Rodney Downey - 2004 - Annals of Pure and Applied Logic 129 (1-3):163-180.

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