ProofWiki:Mathematicians/Francesco Paolo Cantelli

Italian mathematician best known for his work in probability theory, and for the Borel-Cantelli Lemma.

Note: his name is sometimes reported as Fracessco Cantelli. Clarification is needed as to which is correct.

Nationality

Italian

History

• Born: 20 Dec 1875, Palermo, Sicily, Italy
• Died: 21 July 1966, Rome, Italy

Theorems and Definitions

• Borel-Cantelli Lemma (with Émile Borel)
• Glivenko-Cantelli Theorem (with Valery Ivanovich Glivenko)

Books and Papers

• 1900: Sulla parentesi di Lagrange con applicazione al moto perturbato dei pianeti
• 1905: Sui fondamenti del calcolo delle probabilità
• 1910: Intorno ad un teorema fondamentale della teoria del rischio (in which the Bienaymé-Chebyshev Inequality is generalized)
• 1914: Genesi e costruzione delle travole di mutalità
• 1916: Sulla legge dei grandi numeri (On the law of large numbers)
• 1916: La tendenza a un limite nel senso del calcolo delle probabilità (Convergence to a limit in the sense of the calculus of probabilities)
• 1917: Sulla probabilità comme limite di frequenza (On probability seen as a limit of frequencies)
• 1917: Su due applicazioni di un teorema di G Boole alla statistica matematica (On two applications of a Boole's theorem to mathematical statistics)

Also see

• John J. O'Connor and Edmund F. Robertson: "Francesco Paolo Cantelli": MacTutor History of Mathematics archive