@article{521,
  keywords = {Desirable gamble, Imprecise Probability, Median, Statistical preference, Stochastic ordering},
  author = {Inés Couso and Serafín Moral and Luciano Sánchez},
  title = {The behavioral meaning of the median},
  abstract = {We extend the notion of statistical preference to the general framework of imprecise probabilities, by proposing a new notion of desirability of gambles called   sign-desirability  , different from the usual desirability notion in Walley s framework. We axiomatically characterize coherent families of sign-desirable gambles. We furthermore prove that the pair of lower and upper previsions of a gamble, according to this new desirability notion, coincides with the pair of bounds (infimum and supremum) of the set of medians associated to a coherent family of linear previsions. Thus, a general notion of median is naturally derived, and provided with a behavioral meaning. As a consequence of these results, the connection between statistical preference in classical Probability Theory, and the sign of the median of the difference of two random variables is laid bare.},
  year = {2015},
  journal = {Information Sciences},
  volume = {294},
  pages = {127-138},
  issn = {0020-0255},
  url = {http://www.sciencedirect.com/science/article/pii/S0020025514008548},
  doi = {10.1016/j.ins.2014.08.049},
  note = {Innovative Applications of Artificial Neural Networks in Engineering},
}