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Von Mises' definition of random sequences reconsidered

Published online by Cambridge University Press:  12 March 2014

Michiel van Lambalgen
Michiel van Lambalgen*
Affiliation:
Department of Philosophy, Technical University of Delft, Delft, The, Netherlands
*
Department of Mathematics, University of Amsterdam, Amsterdam, The, Netherlands
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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).

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 52 , Issue 3 , September 1987 , pp. 725 - 755
Copyright
Copyright © Association for Symbolic Logic 1987

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