Email this article On inequalities for probabilities wherein at least r from n events occur
- Authors: Frolov A.N.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 50, No 3 (2017)
- Pages: 287-296
- Section: Mathematics
- URL: https://journal-vniispk.ru/1063-4541/article/view/185832
- DOI: https://doi.org/10.3103/S1063454117030074
- ID: 185832
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Abstract
Upper and lower estimates are obtained for probabilities wherein at least r from n events occur. The inequalities may turn to equalities. Similar inequalities are obtained for conditional probabilities with respect to a σ-field of events. Taking expectations from both parts of the specified inequalities, one can refine the estimates for the considered unconditional probabilities.
About the authors
A. N. Frolov
St. Petersburg State University
Author for correspondence.
Email: a.frolov@spbu.ru
Russian Federation, St. Petersburg, 199034
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