Francesco Paolo Cantelli [SEP] place of death
Francesco Paolo Cantelli
Francesco Paolo Cantelli (20 December 1875, Palermo21 July 1966, Rome) was an Italian mathematician.
He received his doctorate in mathematics in 1899 from the University of Palermo with a thesis on celestial mechanics and continued his interest in astronomy by working until 1903 at Palermo's "osservatorio astronomico cittadino" (National Astronomical Observatory), which was under the direction of Annibale Riccò. Cantelli's early papers were on problems in astronomy and celestial mechanics.
From 1903 to 1923 Cantelli worked at the "Istituto
Glivenko–Cantelli theorem
In the theory of probability, the Glivenko–Cantelli theorem, named after Valery Ivanovich Glivenko and Francesco Paolo Cantelli, determines the asymptotic behaviour of the empirical distribution function as the number of independent and identically distributed observations grows. E. J. G. Pitman calls it "the existence theorem for statistics as a branch of applied mathematics."
Statement.
The uniform convergence of more general empirical measures becomes an important property of the Glivenko–Cantelli classes of functions or sets. The Glivenko–Cantelli classes arise