## Journal of Symbolic Logic

### Von Mises' Definition of Random Sequences Reconsidered

Michiel Van Lambalgen

#### Abstract

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 $(\S4)$.

#### Article information

Source
J. Symbolic Logic, Volume 52, Issue 3 (1987), 725-755.

Dates
First available in Project Euclid: 6 July 2007

https://projecteuclid.org/euclid.jsl/1183742439

Mathematical Reviews number (MathSciNet)
MR902987

Zentralblatt MATH identifier
0628.60001

JSTOR