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Cantelli's Inequality

Probability and Statistics

Cantelli's Inequality, in probability theory, is an improved version of Chebyshev's inequality for one-sided tail bounds, giving a tighter bound on the probability that a random variable deviates from its mean in only one particular direction rather than either direction. It is named for the Italian mathematician Francesco Paolo Cantelli and is also known as the one-sided Chebyshev inequality.

Facts
Classification
Statement Form
Inequality 1
Proof Year
1928 2
Sources
1. Wikipedia: Cantelli's inequality
WikipediaLead section, statement-form reference
Quote, Lead section, statement-form reference
In probability theory, Cantelli's inequality (also called the Chebyshev-Cantelli inequality and the one-sided Chebyshev inequality) is an improved version of Chebyshev's inequality for one-sided tail bounds.
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2. Cantelli's inequality, Wikipedia
History
Quote, History
Francesco Paolo Cantelli who published it in 1928.
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