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.
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Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
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Source Cantelli's inequality, Wikipedia
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Source Cantelli's inequality, Wikipedia
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1. Wikipedia: Cantelli's inequality
WikipediaLead section, statement-form referenceQuote, 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.
2. Cantelli's inequality, Wikipedia
History
Francesco Paolo Cantelli who published it in 1928.
In Branch: Probability and Statistics, Lead sentence
In probability theory, Cantelli's inequality (also called the Chebyshev-Cantelli inequality and the one-sided Chebyshev inequality
Proved By: Francesco Paolo Cantelli, Lead paragraph
In probability theory, Cantelli's inequality (also called the Chebyshev-Cantelli inequality and the one-sided Chebyshev inequality) is an improved version
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