INEQUALITIES FOR Ek ( X , Y ) WHEN THE MARGINALS

نویسندگان

  • Gordon Simons
  • William Stout
  • Stamatis Cambanis
چکیده

When k(x,Y) "<.is~a quasi-monotone function a.'1d the random variables X and Y have fixed distributions, it is sho1~ under some further mild conditions that Ek(X,Y) is a monotone functional of the joint distribution function of X and Y. Its infimum and supremum are both attained and correspond to explicitly described joint distribution functions. * Research supported by the Air Force Office of Scientific Research under Grant AFOSR-7S-2796. ** Research supported by the National Science Fou...'1dation.

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تاریخ انتشار 2008