  Given an arbitrary statistical theory, different from quantum mechanics, how
to decide which are the nonclassical correlations? We present a formal
framework which allows for a definition of nonclassical correlations in such
theories, alternative to the current one. This enables one to formulate
extrapolations of some important quantum mechanical features via adequate
extensions of reciprocal maps relating states of a system with states of its
subsystems. These extended maps permit one to generalize i) separability
measures to any arbitrary statistical model as well as ii) previous
entanglement criteria. The standard definition of entanglement becomes just a
particular case of the ensuing, more general notion.
