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Published in:
2006 | OriginalPaper | Chapter
Constructive Equivalence Relations on Computable Probability Measures
Author : Laurent Bienvenu
Published in: Computer Science – Theory and Applications
Publisher: Springer Berlin Heidelberg
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We study the equivalence relations on probability measures corresponding respectively to having the same Martin-Löf random reals, having the same Kolmogorov-Loveland random reals, and having the same computably random reals. In particular, we show that, when restricted to the class of strongly positive generalized Bernoulli measures, they all coincide with the classical equivalence, which requires that two measures have the same nullsets.