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On a characterization of measures of dispersion


Author: A. S. Fainleib
Journal: Proc. Amer. Math. Soc. 131 (2003), 1601-1606
MSC (2000): Primary 60E15
DOI: https://doi.org/10.1090/S0002-9939-02-06655-8
Published electronically: September 19, 2002
MathSciNet review: 1950291
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Abstract: Measures of dispersion are characterized by the set of all bounded random variables whose dispersion is minimized when taken around the origin.


References [Enhancements On Off] (What's this?)

  • 1. G.H. Hardy, J.E. Littlewood, and G. Polya, Inequalities. University Press, Cambridge(1934).
  • 2. A. Kagan and L.A. Shepp, Why the variance?, Statist. Probab. Lett. 38(1998), 329-333. MR 99c:60031
  • 3. W. Sierpinski, Sur les fonctions convexes mesurable, Fundamenta Math. 1(1920), 125-129.
  • 4. E.C. Titchmarsh, The Theory of Functions. University Press, Oxford(1939).

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Additional Information

A. S. Fainleib
Affiliation: 9-4990 Ed. Montpetit, Montreal, Quebec, Canada H3W 1P9
Email: a_fainleib@hotmail.com

DOI: https://doi.org/10.1090/S0002-9939-02-06655-8
Received by editor(s): July 5, 2001
Received by editor(s) in revised form: December 12, 2001
Published electronically: September 19, 2002
Communicated by: Claudia M. Neuhauser
Article copyright: © Copyright 2002 American Mathematical Society

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