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EXACT LOWER BOUND ON AN ‘EXACTLY ONE’ PROBABILITY

Part of: Distribution theory - Probability

Published online by Cambridge University Press:  23 February 2021

IOSIF PINELIS Open the ORCID record for IOSIF PINELIS [Opens in a new window]
IOSIF PINELIS*
Affiliation:
Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan49931, USA
*
e-mail: [email protected]
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Abstract

We obtain the exact lower bound on the probability of the occurrence of exactly one of n random events each of probability p.

Keywords

exact lower boundindependencepairwise independenceprobability inequalities

MSC classification

Primary: 60E15: Inequalities; stochastic orderings
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 104 , Issue 2 , October 2021 , pp. 330 - 336
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Copyright
© 2021 Australian Mathematical Publishing Association Inc.

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References

Bochnak, J., Coste, M. and Roy, M.-F., Real Algebraic Geometry, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), 36 (Springer, Berlin, 1998). Translated and updated from the 1987 French original.CrossRefGoogle Scholar
Borovkov, A. A., Probability Theory, Universitext (Springer, London, 2013). Translated from the 2009 Russian fifth edition by O. B. Borovkova and P. S. Ruzankin.CrossRefGoogle Scholar
Feller, W., An Introduction to Probability Theory and its Applications, 3rd edn, Vol. I (John Wiley, New York–London–Sydney, 1968).Google Scholar
Tao, T., ‘The strong law of large numbers’, https://terrytao.wordpress.com/2008/06/18/the-strong-law-of-large-numbers/, November 2008. Google Scholar