The purpose of this paper is to investigate a condition, suggested by Kuznetsov, to be required of independent variables. Kuznetsov's condition demands decomposable functions to be associated with decomposable expectation intervals. The paper demonstrates that Kuznetsov's condition does enlarge the universe of models based on sets of probability measures, as the condition is not equivalent to existing concepts of independence.
Keywords. Sets of probability measures, lower expectations, independence concepts, extensions
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