On a sequence of almost deterministic pairwise independent random variables
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- by A. Joffe PDF
- Proc. Amer. Math. Soc. 29 (1971), 381-382 Request permission
Abstract:
We show the existence of infinite sequences of pairwise independent random variables (which are not constant almost everywhere) such that the whole sequence is determined with probability one by the knowledge of any pair of members of that sequence.References
- Paul R. Halmos and John von Neumann, Operator methods in classical mechanics. II, Ann. of Math. (2) 43 (1942), 332–350. MR 6617, DOI 10.2307/1968872
- Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. I, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 115, Springer-Verlag, Berlin-New York, 1979. Structure of topological groups, integration theory, group representations. MR 551496 A. Joffe, On a set of almost deterministic pairwise independent random variables, Ann. Math. Statist. (to appear).
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 381-382
- MSC: Primary 60.20
- DOI: https://doi.org/10.1090/S0002-9939-1971-0279857-5
- MathSciNet review: 0279857