Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

Independence and atoms

Author(s): Gábor J. Székely; Tamás F. Móri
Journal: Proc. Amer. Math. Soc. 130 (2002), 213-216.
MSC (2000): Primary 60A10
Posted: April 25, 2001
Retrieve article in: PDF DVI PostScript
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: We prove that if the range of a probability measure contains an interval $[0,\varepsilon ]$ , $\varepsilon >0$ , then there are infinitely many (nontrivial) independent events in this probability space.

References:

1.: Borkar, V. S. (1995).
Probability Theory,
Springer-Verlag, New York. MR 98e:60001
2.: Billingsley, P. (1995).
Probability and Measure, 3rd ed.
J. Wiley & Sons, New York. MR 95k:60001
3.: Chen, Zh., Rubin, H., Vitale, R. A. (1997). Independence and determination of probabilities, Proc. Amer. Math. Soc., 125 no. 12, 3721-3723. MR 98b:60007
4.: Rényi, A. (1970).
Probability Theory,
North-Holland, New York. MR 47:4296

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 60A10

Retrieve articles in all Journals with MSC (2000): 60A10

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

DOI: 10.1090/S0002-9939-01-06045-2
PII: S 0002-9939(01)06045-2
Keywords: Independence, atom, purely atomic probability measure, Borel-Cantelli lemma, range of a probability measure
Received by editor(s): July 15, 1999
Received by editor(s) in revised form: May 24, 2000
Posted: April 25, 2001
Communicated by: Claudia M. Neuhauser
Copyright of article: Copyright 2001, American Mathematical Society


	Comments: webmaster@ams.org © Copyright 2008, American Mathematical Society Privacy Statement		Search the AMS