Stochastic Independence in a Coherent Setting

  • Authors:
  • G. Coletti;R. Scozzafava

  • Affiliations:
  • Dipartimento di Matematica e Informatica, Università di Perugia, Perugia, Italy E-mail: coletti@dipmat.unipg.it;Dipartimento Metodi e Modelli Matematici, Università “La Sapienza”, Roma, Italy E-mail: romscozz@dmmm.uniroma1.it

  • Venue:
  • Annals of Mathematics and Artificial Intelligence
  • Year:
  • 2002

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Abstract

Our aim is to put under the right perspective the theory of stochastic independence in the framework of coherent probability theory, taking suitably into account also events whose probability is zero or one. Moreover, in a coherent setting, upper and lower probabilities come naturally to the fore, and so we discuss the issues raised when trying to extend stochastic independence to this more general concept.