Kolmogorov-Smirnov isometries and affine automorphisms of spaces of distribution functions

• Autorzy: Lajos Molnár
• Języki publikacji: EN

Abstrakty

EN

In this paper we describe the structure of surjective isometries of the spaces of all absolutely continuous, singular, or discrete probability distribution functions on R equipped with the Kolmogorov-Smirnov metric. We also study the structure of affine automorphisms of the space of all distribution functions.

Słowa kluczowe

EN

Kolmogorov-Smirnov metric; Absolute continuous distribution functions; Singular distribution functions; Discrete distribution functions; Isometry

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 60B10: Convergence of probability measures
• 54E40: Special maps on metric spaces

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 4
• Strony: 789-796

Daty

wydano

2011-08-01

online

2011-05-26

Twórcy

autor

Lajos Molnár

• University of Debrecen

Bibliografia

• [1] Dolinar G., Molnár L., Isometries of the space of distribution functions with respect to the Kolmogorov-Smirnovmetric, J. Math. Anal. Appl.,2008, 348(1), 494–498 http://dx.doi.org/10.1016/j.jmaa.2008.07.054
• [2] Yeh J., Real Analysis: Theory of Measure and Integration, 2nd ed., World Scientific, Hackensack, 2006

Identyfikatory

DOI

10.2478/s11533-011-0034-y