Independence and atoms
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- by Gábor J. Székely and Tamás F. Móri PDF
- Proc. Amer. Math. Soc. 130 (2002), 213-216 Request permission
Abstract:
We prove that if the range of a probability measure $P$ contains an interval $[0,\varepsilon ]$, $\varepsilon >0$, then there are infinitely many (nontrivial) independent events in this probability space.References
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Additional Information
- Gábor J. Székely
- Affiliation: Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio 43403-0221 and Rényi Institute of Mathematics, Hungarian Academy of Sciences, P.O.B. 127, 1364 Budapest, Hungary
- Email: gabors@bgnet.bgsu.edu
- Tamás F. Móri
- Affiliation: Department of Probability and Statistics, Eötvös L. University, Kecskeméti u. 10,1093 Budapest, Hungary
- Email: moritamas@ludens.elte.hu
- Received by editor(s): July 15, 1999
- Received by editor(s) in revised form: May 24, 2000
- Published electronically: April 25, 2001
- Communicated by: Claudia M. Neuhauser
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 213-216
- MSC (2000): Primary 60A10
- DOI: https://doi.org/10.1090/S0002-9939-01-06045-2
- MathSciNet review: 1855639