Annals of Mathematics and Artificial Intelligence

, Volume 35, Issue 1, pp 151-176

First online:

Stochastic Independence in a Coherent Setting

  • G. ColettiAffiliated withDipartimento di Matematica e Informatica, Università di Perugia
  • , R. ScozzafavaAffiliated withDipartimento Metodi e Modelli Matematici, Università “La Sapienza”

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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.

stochastic and logical independence coherence upper and lower probabilities