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epsi-contaminated and lower density bounded classes

 

An epsi-contaminated class is characterized by a distribution p() and a real number epsiisin(0,1):

  r(x) = (1-epsi)p(x) + epsiq(x).

An epsi-contaminated class is the convex hull of the functions (1-epsi)p(x) + epsideltaak(x), for all ak isinx, where x is the set of values of x and deltaa(x) is 1 if x = a and 0 otherwise. Also, this class is the set of all distributions p(x) so that p(x) gel(x) for an arbitrary non-negative measure l() [10]; there are approximations (without error bounds) for inferences with this formulation [4].



© Fabio Cozman[Send Mail?]

Fri May 30 15:55:18 EDT 1997