Hellinger integral
Appearance
In mathematics, theHellinger integralis an integral introduced byHellinger(1909) that is a special case of theKolmogorov integral.It is used to define theHellinger distancein probability theory.
References
[edit]- Hellinger, E.(1909),"Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen",Journal für die reine und angewandte Mathematik(in German),136:210–271,doi:10.1515/crll.1909.136.210,JFM40.0393.01
- Hobson, E. W. (1958),The theory of functions of a real variable and the theory of Fourier's series. Vol. I,New York:Dover Publications,pp. XV+736,MR0092828,Zbl0081.27702
- Vinogradova, I. A. (2001) [1994],"Hellinger integral",Encyclopedia of Mathematics,EMS Press