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A characterization based on conditional expectations
Authors:P Zoroa  JM Ruiz  J Marín
Institution:Departamento de Matemática Aplicada y Estadística , Universidad de Murcia , Murcia, 30001, Spain
Abstract:We obtain the necessary and sufficient conditions so that any real function (x) is the conditional expectation E(h(X)/Xx) of a random variable X with continuous distribution function, where h is a given real, continuous and strictly monotonic function.
Keywords:characterization  conditional expectation
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